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[A] [B] [C] [D] [E] [F] [G] [H] [I] [J] [K] [L] [M] [N] [O] [P-Q] [R] [S] [T] [U] [V] [W] [X-Y] [Z]

A

• J. Ablinger,
  • Harmonic sums and polylogarithms generated by cyclotomic polynomials,
  • Analytic and algebraic aspects of generalized harmonic sums and polylogarithms,
  • Iterated binomial sums and their associated iterated integrals,
  • Harmonic sums, polylogarithms, special numbers, and their generalizations,
  • Generalized harmonic, cyclotomic, and binomial sums, their polylogarithms and special numbers.
• V. Adamchik, On Stirling numbers and Euler sums.
• K. Adegoke, On generalized harmonic numbers, Tornheim double series and linear Euler sums.
• S. Agarwala, Dihedral symmetries of multiple polylogarithms.
• X. Ai, Generalized multiple zeta values over number fields I.
• P. Akhilesh,
  • Double tails of multiple zeta values ,
  • Multiple zeta values and multiple Apéry-like sums.
• S. Akiyama,
  • Analytic continuation of multiple zeta-functions and their values at non-positive integers,
  • Multiple zeta values at non-positive integers,
  • On analytic continuation of multiple L-functions and related zeta functions .
• S. Albino, Analytic continuation of harmonic sums.
• J. Alm,
  • Brown's dihedral moduli space and freedom of the gravity operad,
  • Formal weights in Kontsevich's formality construction and multiple zeta values,
  • A universal A _∞-structure on Batalin-Vilkovisky algebras with multiple zeta value coefficients .
• G.W. Anderson, Multizeta values for F _q [ t], their period interpretation, and relations between them .
• C. Anzai, Algorithms to evaluate multiple sums for loop computations.
• T. Anzawa, Weighted sum formulas for finite alternating multiple zeta values with some parameters.
• T. Aoki,
  • Sum relations for multiple zeta values and connection formulas for the Gauss hypergeometric functions,
  • A generating function for sums of multiple zeta values and its applications,
  • On generating functions of multiple zeta values and generalized hypergeometric functions.
• T. M. Apostol,
  • Dirichlet series related to the Riemann zeta function,
  • A new method of investigating Euler sums.
• T. Arakawa,
  • Multiple zeta values, poly-Bernoulli numbers, and related zeta functions,
  • On multiple L-values .
• J. A. Arciniega-Nevárez, Virtual posets, shuffle algebras and associators .
• F. V. Atkinson, The mean-value of the Riemann zeta function.
• K. C. Au,
  • Evaluation of one-dimensional polylogarithmic integral, with applications to infinite series,
  • Iterated integrals and special values of multiple polylogarithms at algebraic arguments.

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  B

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• H. Bachmann,
  • The algebra of generating functions for multiple divisor sums and applications to multiple zeta values,
  • A short note on a conjecture of Okounkov about a q-analogue of multiple zeta values ,
  • The double shuffle relations for multiple Eisenstein series,
  • The algebra of bi-brackets and regularized multiple Eisenstein series,
  • Double shuffle relations for q-analogues of multiple zeta values, their derivatives and the connection to multiple Eisenstein series ,
  • On multiple series of Eisenstein type,
  • Multiple Eisenstein series and q-analogues of multiple zeta values ,
  • Interpolated Schur multiple zeta values,
  • Cyclotomic analogues of finite multiple zeta values,
  • A dimension conjecture for q-analogues of multiple zeta values ,
  • Checkerboard style Schur multiple zeta values and odd single zeta values,
  • Rooted tree maps and the derivation relation for multiple zeta values,
  • Rooted tree maps and the Kawashima relations for multiple zeta values,
  • Special values of finite multiple harmonic q-series at roots of unity ,
  • Modular forms and q-analogues of modified double zeta values ,
  • Generalized Jacobi-Trudi determinants and evaluations of Schur multiple zeta values,
  • Finite and symmetric Mordell-Tornheim multiple zeta values,
  • q-Analogues of multiple zeta values and the formal double Eisenstein space ,
  • Partitions, multiple zeta values, and the q-bracket ,
  • Combinatorial multiple Eisestein series.
• D. H. Bailey,
  • Experimental evaluation of Euler sums,
  • Computation and theory of extended Mordell-Tornheim-Witten sums,
  • On Eulerian log-gamma integrals and Tornheim-Witten zeta functions,
  • Computation and theory of Mordell-Tornheim-Witten sums II,
  • Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums,
  • Computation and experimental evaluation of Mordell-Tornheim-Witten sum derivatives.
• V. Baldoni, Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces.
• P. Banks, Multiple zeta values in deformation quantization.
• D. Bannerjee,
  • Bounds of double zeta-functions and their applications,
  • Mean square of double zeta-function.
• G. Bastien, Elementary methods for evaluating Jordan's sums and analogous Euler's type sums and for setting a sigma sum theorem.
• D. Basak, Multiple zeta functions and polylogarithms over global function fields.
• A. Basu,
  • A new method of investigating Euler sums,
  • A new method in the study of Euler sums,
  • On the evaluation of Tornheim sums and allied double sums.
• S. Baumard, Period polynomial relations between double zeta values .
• C. Berg, Symmetric moment problems and a conjecture of Valent.
• S. Berger, Proof of Kaneko-Tsumura conjecture on triple T-values .
• M. Berghoff, Virtual posets, shuffle algebras and associators .
• A. Berglund, Hirzebruch L-polynomials and multiple zeta values .
• J. Bergström, Hirzebruch L-polynomials and multiple zeta values .
• A. Besser, The double shuffle relations for p-adic multiple zeta values .
• M. Bigotte, Lyndon words and shuffle algebras for generating the coloured multiple zeta values relations tables.
• J. Blümlein,
  • Harmonic sums and Mellin transforms up to two-loop order,
  • Analytic continuation of Mellin transforms up to two-loop order,
  • Algebraic relations between harmonic sums and associated quantities,
  • Analytic continuation of the harmonic sums for the 3-loop anomalous dimensions,
  • Structural relations of harmonic sums and Mellin transforms at weight w = 6 ,
  • Structural relations of harmonic sums and Mellin transforms up to weight w =5 ,
  • The multiple zeta value data mine,
  • Harmonic sums and polylogarithms generated by cyclotomic polynomials,
  • Analytic and algebraic aspects of generalized harmonic sums and polylogarithms,
  • Iterated binomial sums and their associated iterated integrals,
  • Harmonic sums, polylogarithms, special numbers, and their generalizations,
  • Generalized harmonic, cyclotomic, and binomial sums, their polylogarithms and special numbers.
• J. Boersma, The evaluation of character Euler double sums.
• C. Bogner, Multiple polylogarithms and linearly reducible Feynman graphs.
• D. Borwein,
  • Explicit evaluation of Euler sums,
  • On an intriguing integral and some series related to ζ(4),
  • Parametric Euler sum identities,
  • Log-sine evaluations of Mahler measures II,
  • On Eulerian log-gamma integrals and Tornheim-Witten zeta functions.
• J. M. Borwein,
  • Experimental evaluation of Euler sums,
  • Explicit evaluation of Euler sums,
  • On an intriguing integral and some series related to ζ(4),
  • Evaluation of triple Euler sums,
  • Evaluation of k-fold Euler/Zagier sums: a compendium of results for arbitrary k ,
  • Combinatorial aspects of multiple zeta values,
  • Special values of multidimensional polylogarithms,
  • Central binomial sums, multiple Clausen values, and zeta values,
  • Parametric Euler sum identities,
  • Thirty-two Goldbach variations,
  • Hilbert's inequality and Witten's zeta-function,
  • The evaluation of character Euler double sums,
  • Duality in tails of multiple zeta values,
  • Special values of generalized log-sine integrals,
  • Log-sine evaluations of Mahler measures,
  • Log-sine evaluations of Mahler measures II,
  • Relations for Nielsen polylogarithms,
  • Computation and theory of extended Mordell-Tornheim-Witten sums,
  • On Eulerian log-gamma integrals and Tornheim-Witten zeta functions,
  • Computation and theory of Mordell-Tornheim-Witten sums II,
  • Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums,
  • Computation and experimental evaluation of Mordell-Tornheim-Witten sum derivatives,
  • Derivatives and fast evaluation of the Tornheim zeta function.
• O. Bouillot,
  • The algebra of multitangent functions,
  • The algebra of Hurwitz multizeta functions,
  • On Hurwitz multizeta functions,
  • Invariants of identity-tangent diffeomorphisms expanded as series of multitangents and multizetas.
• L. Boutet de Monvel, Remark on divergent multizeta series.
• D. Bowman,
  • The algebra and combinatorics of shuffles and multiple zeta values,
  • Some multi-set inclusions associated with shuffle convolutions and multiple zeta values,
  • Resolution of some open problems concerning multiple zeta evaluations of arbitrary depth,
  • Multiple polylogarithms: a brief survey.
• K. N. Boyadzhiev,
  • Evaluation of Euler-Zagier sums,
  • Consecutive evaluation of Euler sums,
  • The values of an Euler sum at the negative integers and a relation to a certain convolution of Bernoulli numbers,
  • Alternating Euler sums at the negative integers,
  • Euler sums of hyperharmonic numbers .
• A. Boysal, Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces.
• D. M. Bradley,
  • Evaluation of k-fold Euler/Zagier sums: a compendium of results for arbitrary k ,
  • Combinatorial aspects of multiple zeta values,
  • The algebra and combinatorics of shuffles and multiple zeta values,
  • Special values of multidimensional polylogarithms,
  • Multiple polylogarithms: a brief survey,
  • Some multi-set inclusions associated with shuffle convolutions and multiple zeta values.
  • Resolution of some open problems concerning multiple zeta evaluations of arbitrary depth,
  • Multiple q-zeta values ,
  • Partition identities for the multiple zeta function,
  • A q-analog of Euler's decomposition formula for the double zeta function ,
  • Duality for finite multiple harmonic q-series ,
  • Parametric Euler sum identities,
  • Thirty-two Goldbach variations,
  • On the sum formula for multiple q-zeta values ,
  • Signed q-analogs of Tornheim's double series ,
  • A signed analog of Euler's reduction formula for the double zeta function,
  • Depth reduction of a class of Witten zeta functions,
  • On Mordell-Tornheim sums and multiple zeta values,
  • A q-analog of Euler's reduction formula for the double zeta function .
• B. Brindle,
  • A unified approach to qMZVs,
  • Proving dualities for qMZVs with connected sums.
• D. J. Broadhurst,
  • Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops,
  • Evaluation of k-fold Euler/Zagier sums: a compendium of results for arbitrary k ,
  • Massive 3-loop Feynman diagrams reducible to SC* primitives of algebras of the sixth root of unity,
  • Combinatorial aspects of multiple zeta values,
  • Special values of multidimensional polylogarithms,
  • Central binomial sums, multiple Clausen values, and zeta values,
  • On the enumeration of irreducible k-fold Euler sums and their roles in knot theory and field theory ,
  • Conjectured enumeration of irreducible multiple zeta values, from knots and Feynman diagrams,
  • The multiple zeta value data mine,
  • Multiple zeta values and modular forms in quantum field theory.
• J. Brödel,
  • Polylogarithms, multiple zeta values and superstring amplitudes,
  • All order alpha'-expansion of superstring trees from the Drinfeld associator,
  • Relations between elliptic multiple zeta values and a special derivation algebra,
  • Elliptic multiple zeta values and one-loop superstring amplitudes,
  • Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes,
  • From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop,
  • From modular forms to differential equations for Feynman diagrams,
  • One-loop string scattering amplitudes as iterated Eisenstein integrals.
• F. C. S. Brown,
  • Périodes des espaces des modules M _0,n et valeuers zêtas multiples ,
  • The massless higher-loop two-point function,
  • Multiple zeta values and periods of moduli spaces M _0,n ,
  • Multiple zeta values and periods: from moduli spaces to Feynman integrals,
  • Algebra of cell-zeta values,
  • On the decomposition of motivic multiple zeta values,
  • Mixed Tate motives over Z ,
  • Depth-graded motivic multiple zeta values,
  • Single-valued polylogarithms and a proof of the zig-zag conjecture,
  • Motivic periods and P ¹ \{0,1,∞} ,
  • Single-valued motivic periods and multiple zeta values,
  • Irrationality proofs for zeta values, moduli spaces and dinner parties,
  • Zeta elements in depth 3 and the fundamental Lie algebra of the infinitesimal Tate curve,
  • A class of non-holomorphic modular forms I,
  • A class of non-holomorphic modular forms II: equivariant iterated Eisenstein integrals,
  • A class of non-holomorphic modular forms III: real analytic cusp forms for SL ₂( Z) ,
  • Anatomy of an associator.
• J. P. Buhler, On the evaluation of Euler sums.
• V. C. Bui,
  • Computation tool for the q-deformed quasi-shuffle algebras and representations of the structure of MZVs ,
  • Structure of polyzetas and explicit representation on transcendence bases of shuffle and stuffle algebras.
• J. I. Burgos Gil, Multiple Zeta Values: From Numbers to Motives .
• A. Burmester, Combinatorial multiple Eisestein series.
• P. L. Butzer, Stirling numbers, central factorial numbers, and representations of the Riemann zeta function.

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  C

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• T. Cai,
  • Congruences for finite triple harmonic sums,
  • A generalization of a curious congruence on harmonic sums,
  • Signed q-analogs of Tornheim's double series ,
  • Depth reduction of a class of Witten zeta functions,
  • Bernoulli numbers and congruences of harmonic sums,
  • Some identities for multiple zeta values,
  • Congruences for alternating triple harmonic series,
  • Some identities for alternating multiple zeta values,
  • A curious congruence modulo prime powers,
  • A congruence involving harmonic sums modulo p ^αq ^β ,
  • Congruences involving alternating harmonic sums modulo p ^αq ^β ,
  • Super congruences involving alternating harmonic sums mod prime powers.
  • Some weighted sum identities for double zeta values,
  • Super congruences on harmonic sums.
• Y. Cai, On harmonic numbers and nonlinear Euler sums.
• B. Candelpergher,
  • The Arakawa-Kaneko zeta function,
  • Inverse binomial series and values of Arakawa-Kaneko zeta function.
• S. Carr,
  • Periods on the moduli space of genus 0 curves,
  • Algebra of cell-zeta values,
  • Combinatorics of the double shuffle Lie algebra,
  • On the Broadhurst-Kreimer generating series for multiple zeta values.
• P. Cartier,
  • Fonctions polylogarithmes, nombres polyzêtas et groupes pro-unipotents,
  • On the double zeta values.
• J. Castillo Medina,
  • On Euler's decomposition formula for qMZVs ,
  • Unfolding the double shuffle structure of qMZVs .
• M. Cenkci, A two-variable Dirichlet series and its applications.
• O-Y. Chan, Duality in tails of multiple zeta values.
• A. Chandra, Proof of Kaneko-Tsumura conjecture on triple T-values .
• Chieh-Yu Chang,
  • Linear independence of monomials of multizeta values in positive characteristic,
  • An effective criterion for Eulerian multizeta values in positive characteristic,
  • Linear relations among double zeta values in positive characteristic,
  • On characteristic p multizeta values ,
  • On multiple polylogarithms in characteristic p: v-adic vanishing versus ∞-adic Eulerianness ,
  • On finite Carlitz multiple polylogarithms,
  • Taylor coefficients of Anderson-Thakur series and explicit formulae,
  • On a conjecture of Furusho over function fields,
  • Algebra structure of multiple zeta values in positive characteristic,
  • Periods, logarithms and multiple zeta values,
  • On Thakur's basis conjecture for multiple zeta values in positive characteristic.
• Chung-Yie Chang,
  • Some new proofs of the sum formula and the restricted sum formula,
  • Shuffle-product formulas of two multiples of height-one multiple zeta values,
  • On vectorized weighted sum formulas of multiple zeta values.
• F. Chapoton,
  • Multiple T-values with one parameter ,
  • Zinbiel algebras and multiple zeta values.
• S. Charlton,
  • ζ({{2} ^m,1,{2} ^m, 3} ⁿ,{2} ^m)/π ^4n+2m(2n+1) is rational ,
  • The alternating block decomposition of iterated integrals, nad cyclic insertion on multiple zeta values,
  • A review of Dan's reduction method for multiple polylogarithms,
  • Analogues of cyclic insertion type identities for multiple zeta star values,
  • Generalized Jacobi-Trudi determinants and evaluations of Schur multiple zeta values,
  • On motivic multiple t values, Saha's basis conjecture, and generators of alternating MZV's ,
  • Symmetry results for multiple t-values.
• T. Chatterjee, The strong Chowla-Milnor spaces and a conjecture of Gun, Murty and Rath.
• A. Chatzistamatiou, On the integrality of p-adic iterated integrals .
• S. Chavan, Integral evaluation of odd Euler sums, multiple t-value t(3,2,...,2), and multiple zeta value ζ(3,2,..2) .
• H-J. Chen,
  • On shuffle of double zeta values over F _q [ t] ,
  • Anderson-Thakur polynomials and multizeta values in positive characteristic,
  • On depth 2 zeta-like families.
• K. Chen,
  • Supercongruences involving multiple harmonic sums and Bernoulli numbers,
  • Some families of super congruences involving alternating multiple harmonic sums.
• K-W. Chen,
  • Explicit evaluations of extended Euler sums,
  • Applications of stuffle product of multiple zeta values,
  • Sum formulas and duality theorems of multiple zeta values,
  • Combinatorial implications of decomposition theorems of multiple zeta values,
  • Sum formulas of multiple zeta values with arguments multiples of a common positive integer,
  • Generalized harmonic numbers and Euler sums,
  • Sum relations of multiple zeta star values of even arguments,
  • Multinomial sum formulas of multiple zeta values,
  • Generalized Arakawa-Kaneko zeta functions,
  • Some special Euler sums and ζ ^☆(r+2,{2} ⁿ) .
  • Generalized harmonic number sums and quasi-symmetric functions,
  • Gamma functions and sum formulas for multiple zeta values,
  • On the convolutions of sums of multiple zeta(-star) values of height one,
  • On three general forms of multiple zeta(-star) values,
  • Weighted sum formulas from shuffle products of multiple zeta-star values.
• Y-H. Chen, Multiple zeta values and application to the Lacunary recurrence formulas of Bernoulli numbers.
• Y-T. Chen,
  • Integrality of v-adic multiple zeta values ,
  • Algebra structure of multiple zeta values in positive characteristic.
  • On lower bounds of the dimensions of multizeta values in positive characteristic,
  • On Thakur's basis conjecture for multiple zeta values in positive characteristic.
• Z. Chen, Some weighted sum formulas for multiple zeta, Hurwitz zeta, and alternating multiple zeta values.
• S. Chern, On a congruence involving harmonic series and Bernoulli numbers.
• Y. J. Cho, Euler sums evaluatable from integrals.
• J. Choi,
  • Euler sums evaluatable from integrals,
  • Explicit evaluation of Euler and related sums,
  • Some applications of the Gamma and polygamma functions involving convolutions of the Rayleigh functions, multiple Euler sums and log-sine integrals.
• Y. Choie,
  • Functional equations for double series of Euler type with coefficients,
  • Functional equations for double series of Euler-Hurwitz-Barnes type with coefficients.
• Wenchang Chu,
  • Hypergeometric series and the Riemann zeta function,
  • Symmetric functions and the Riemann zeta series,
  • Symmetric functions and multiple zeta values.
• C-L. Chung,
  • Decomposition of products of Riemann zeta values,
  • Sum formulas and duality theorems of multiple zeta values,
  • Combinatorial implications of decomposition theorems of multiple zeta values,
  • Another expression of the restricted sum formula of multiple zeta values,
  • Duality theorems of multiple zeta values with parameters,
  • Some variations of multiple zeta values,
  • Sum formulas of multiple zeta values with arguments multiples of a common positive integer,
  • On the sum relation of multiple Hurwitz zeta functions,
  • Decomposition theorems produced from differential operators,
  • Sum relations of multiple zeta star values of even arguments.
• K. Chung, Universal families of Eulerian multiple zeta values in positive characteristics.
• P. J. Clavier, Double shuffle relations for arborified zeta values.
• M. W. Coffey,
  • On some log-cosine integrals related to ζ(3), ζ(4), and ζ(6),
  • On one-dimensional digamma and polygamma series related to the evaluation of Feynman digrams,
  • On a three-dimensional symmetric Ising tetrahedron and contributions to the theory of the dilogarithm and Clausen functions,
  • Bernoulli identities, zeta relations, determinant expresssions, Mellin transforms, and representation of the Hurwitz numbers.
• G. Combariza, A few conjectures about the multiple zeta values.
• M-A. Coppo,
  • Sur les sommes d'Euler divergentes,
  • The Arakawa-Kaneko zeta function,
  • Inverse binomial series and values of Arakawa-Kaneko zeta function,
  • A note on some alternating series involving zeta and multiple zeta values.
• C. Costermans,
  • Algorithmic and combinatoric aspects of multiple harmonic sums,
  • Structure and asymptotic expansion of multiple harmonic sums,
  • Some results à l'Abel obtained by use of techniques à la Hopf,
  • Noncommutative algebra, multiple harmonic sums and applications in discrete probability.
• R. E. Crandall,
  • On the evaluation of Euler sums,
  • Fast evaluation of multiple zeta sums,
  • Computation and theory of extended Mordell-Tornheim-Witten sums.
• J. Cresson,
  • Polyzétas stricts, larges et pondérés,
  • Séries hypergéometriques multiples et polyzêtas,
  • Phénomènes de symétrie dans des formes linéaires en polyzêtas.

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  D

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• N. Dan,
  • Sur la conjecture de Zagier pour n=4,
  • Sur la conjecture de Zagier pour n=4, II.
• A. I. Davydychev,
  • Some remarks on the ε-expansion of dimensionally regulated Feynman diagrams,
  • New results for the ε-expansion of certain one-, two- and three-loop Feynman diagrams,
  • Massive Feynman diagrams and inverse binomial sums.
• M. de Crisenoy,
  • Values at T-tuples of negative integers of twisted multivariable zeta series associated to polynomials of several variables,
  • Relations between values at T-tuples of negative integers of twisted multivariable zeta series associated to polynomials of several variables.
• M. DeFranco, On the multiple zeta values ζ({2} ^k) .
• N. Degré-Pelletier, Multiple zeta functions and polylogarithms over global function fields.
• P. Deligne, Multizêtas, d'aprés Francis Brown.
• E. D'Hoker,
  • Modular graph functions,
  • Absence of irreducible multiple zeta-values in melon modular graph functions.
• C. Dietze, Totally odd depth-graded multiple zeta values and period polynomials.
• A. Dil,
  • Hyperharmonic series involving Hurwitz zeta function;
  • Euler sums of hyperharmonic numbers,
• K. Dilcher,
  • On q-analogues of double Euler sums ,
  • Derivatives and fast evaluation of the Tornheim zeta function,
  • Identities for Bernoulli polynomials related to multiple Tornheim zeta functions.
  • Analytic continuation of character and alternating Tornheim zeta functions.
• L. Ding, Evaluation of a class of double L-values of Tornheim's type .
• S. Ding,
  • Algorithms for some Euler-type identities for multiple zeta values,
  • A combinatorial identity of multiple zeta values with even arguments,
  • Algorithms for some Euler-type identities for multiple Hurwitz-zeta values.
• E. R. Dolores-Cuenca, Virtual posets, shuffle algebras and associators .
• M. Dotzel, Shuffle product for multiple Dedekind zeta values over imaginary quadratic fields.
• J. M. Drummond, Superstring amplitudes and the associator.
• N. H. Duc, Euler reflexion formulas for motivic multiple zeta functions.
• G. H. E. Duchamp,
  • Computation tool for the q-deformed quasi-shuffle algebras and representations of the structure of MZVs ,
  • Harmonic sums and polylogarithms at negative multi-indices,
  • Structure of polyzetas and explicit representation on transcendence bases of shuffle and stuffle algebras,
  • Harmonic sums and polylogarithms at non-positive multi-indices.
• J-J. Duchamps, Renewal sequences and record chains related to multiple zeta sums.
• C. Duhr,
  • From polygons and symbols to polylogarithmic functions,
  • Mathematical aspects of scattering amplitudes,
  • Scattering amplitudes, Feynman integrals and multiple polylogarithms
  • From modular forms to differential equations for Feynman diagrams.
• F. Dulat, From modular forms to differential equations for Feynman diagrams.
• C. Dupont, Valeurs zêta multiples.
• S. V. Duzhin, Conway polynomial and Magnus expansion.

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  E

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• K. Ebrahimi-Fard,
  • Multiple zeta values and Rota-Baxter algebras,
  • On Euler's decomposition formula for qMZVs ,
  • Unfolding the double shuffle structure of qMZVs ,
  • The Hopf algebra of ( q)multiple polylogarithms with nonpositive arguments ,
  • Renormalization of q-regularized multiple zeta values ,
  • Renormalization group for multiple zeta values,
  • Duality and ( q-)multiple zeta values ,
  • Evaluating generating functions for periodic multiple polylogarithms via rational Chen-Fliess series.
• J. Écalle,
  • ARI/GARI, la dimorphie et l'arithmétique des multizêtas: un premier bilan,
  • Recent advances in the analysis of divergence and singularities,
  • Multizetas, perinomal numbers, arithmetical dimorphy, and ARI/GARI,
  • Invariants of identity-tangent diffeomorphisms expanded as series of multitangents and multizetas,
  • The scrambling operators applied to multizeta algebra and singular perturbation analysis.
• S. Egami,
  • Analytic continuation of multiple zeta-functions and their values at non-positive integers,
  • Asymptotic expansions of multiple zeta functions and mean values of Hurwitz zeta functions.
• M. Eie,
  • Explicit evaluations of extended Euler sums,
  • Explicit evaluation of triple Euler sums,
  • A short proof of the sum formula and its generalization,
  • Double Euler sums on Hurwitz zeta functions,
  • A restricted sum formula among multiple zeta values,
  • Topics in Number Theory ,
  • Explicit evaluations of quadruple Euler sums,
  • Some alternating double sum formulae of multiple zeta values,
  • Evaluation of some quadruple Euler sums of even weight,
  • Generalizations of Euler decomposition and their applications,
  • On generalizations of weighted sum formulas of multiple zeta values,
  • The Theory of Multiple Zeta Values with Applications in Combinatorics ,
  • Combinatorial implications of decomposition theorems of multiple zeta values,
  • Applications of shuffle products of multiple zeta values in combinatorics,
  • Weighted sum formulas from shuffle products of multiples of Riemann zeta values,
  • Decomposition of products of Riemann zeta values,
  • Double weighted sum formulas of multiple zeta values ,
  • Sum formulas and duality theorems of multiple zeta values,
  • The decomposition theorem of products of multiple zeta values of height one,
  • Shuffle products of a single zeta value and multiple zeta values of height one with applications in combinatorics,
  • Identities among restricted sums of multiple zeta values,
  • Another expression of the restricted sum formula of multiple zeta values,
  • Duality theorems of multiple zeta values with parameters,
  • Some variations of multiple zeta values,
  • Sum formulas of multiple zeta values with arguments multiples of a common positive integer,
  • Several weighted sum formulas for multiple zeta values,
  • Sum formulas of multiple zeta values with even arguments and polynomial weights,
  • Sum formulas of multiple zeta values with selected arguments,
  • Some special Euler sums and ζ ^☆(r+2,{2} ⁿ) ,
  • A decomposition of ζ(2n+3) into sums of multiple zeta values,
  • Some alternating sums of multiple zeta values of height one,
  • Gamma functions and sum formulas for multiple zeta values,
  • On the convolutions of sums of multiple zeta(-star) values of height one,
  • On three general forms of multiple zeta(-star) values,
  • Weighted sum formulas from shuffle products of multiple zeta-star values.
• J-Y. Enjalbert,
  • Analytic and combinatoric aspects of Hurwitz polyzêtas,
  • Algorithmic and combinatoric aspects of multiple harmonic sums,
  • Structure and asymptotic expansion of multiple harmonic sums,
  • Combinatorial study of Hurwitz polyzêtas .
• B. Enriquez,
  • A formula for the logarithm of the KZ associator,
  • Mixed pentagon, octagon, and Broadhurst duality equations,
  • Homology of depth-graded motivic Lie algebras and koszulity,
  • A stabilizer interpretation of double shuffle Lie algebras,
  • Analogues elliptiques des nombres multizétas,
  • The Betti side of the double shuffle theory I. The harmonic coproducts,
  • The Betti side of the double shuffle theory II. Double shuffle relations for associators,
  • The Betti side of the double shuffle theory III. Bitorsor structures.
• M. Espie, Formal computations about multiple zeta values.
• O. Espinosa,
  • The evaluation of Tornheim double sums, Part I,
  • The evaluation of Tornheim double sums, Part II.
• D. Essouabri,
  • Relations between values at T-tuples of negative integers of twisted multivariable zeta series associated to polynomials of several variables.
  • Multiple zeta-functions associated with linear recurrence sequences and the vectorial sum formula,
  • Values at nonpositive integers of generalized Euler-Zagier multiple zeta-functions,
  • Values of multiple zeta-functions with polynomial denominators at non-positive integers.
• L. Euler, Meditationes circa singulare serierum genus.

  ---

  F

  ---

• M. Felder, On the irrationality of certain coefficients of the Alekseev-Torossian associator.
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• S. Fischler,
  • Formes linéaires en polyzêtas et intégrales multiples,
  • Séries hypergéometriques multiples et polyzêtas,
  • Phénomènes de symétrie dans des formes linéaires en polyzêtas,
  • Multiple series connected to Hoffman's conjecture on multiple zeta values,
  • Multiple zeta values, Padé approximation and Vasilyev's conjecture.
• P. Flajolet, Euler sums and contour integral representations.
• P. Freitas, Integrals of polylogarithmic functions, recurrence relations, and associated Euler sums.
• H. Frellesvig, On the reduction of generalized polylogarithms to Li _n and Li _2,2 and on the evaluation thereof .
• J. Fresán, Multiple Zeta Values: From Numbers to Motives .
• X. Fu, Congruences for finite triple harmonic sums .
• K. Fujita, A congruence between symmetric multiple zeta-star values and multiple zeta-star values.
• H. Furusho,
  • The multiple zeta value algebra and the stable derivation algebra,
  • p-Adic multiple zeta values I. p-Adic multiple polylogarithms and the p-adic KZ equation ,
  • The double shuffle relations for p-adic multiple zeta values ,
  • Multiple zeta values and Grothendick-Teichmüller groups,
  • p-Adic multiple zeta values II. Tannakian interpretations ,
  • Regularization and generalized double shuffle relations for p-adic multiple zeta values ,
  • Double shuffle relation for associators,
  • Mixed pentagon, octagon, and Broadhurst duality equations,
  • Geometric interpretation of double shuffle relation for multiple L-values ,
  • Desingularization of multiple zeta-functions of generalized Hurwitz-Lerch type and evaluation of p-adic multiple L-functions at arbitrary integers ,
  • On relations among multiple zeta values obtained in knot theory,
  • Desingularization of complex multiple zeta-functions,
  • Fundamentals of p-adic multiple L-functions and evaluation of their special values ,
  • A stabilizer interpretation of double shuffle Lie algebras,
  • p-Adic multiple L-functions and cyclotomic multiple harmonic values ,
  • The Betti side of the double shuffle theory I. The harmonic coproducts,
  • The Betti side of the double shuffle theory II. Double shuffle relations for associators,
  • On the coefficients of the Alekseev-Torossian associator,
  • The Betti side of the double shuffle theory III. Bitorsor structures.
• J. Furuya,
  • Analytic properties of Dirichlet series obtained from the error term in the Dirichlet divisor problem,
  • Moment integrals of 1/sin t and related zeta-values .
• P. H. Fuss (ed.), Correspondance Mathématique et Physique de quelques célèbres Géomètres .

  ---

  G

  ---

• H. Gangl,
  • Double zeta values and modular forms,
  • From polygons and symbols to polylogarithmic functions ,
  • On the Broadhurst-Kreimer generating series for multiple zeta values,
  • Multiple polylogarithms in weight 4.
• F. Gavarini, A formula for the logarithm of the KZ associator.
• M. Genčev,
  • On restricted sum formulas for multiple zeta values with even arguments,
  • Generalizations of the non-local derangement identity and applications to multiple zeta-type series,
  • Transformation of generalized Riemann zeta type sums with repeated arguments,
  • On some weighted sum formulas involving general multiple zeta-type series,
  • A weighted sum formula for alternating multiple zeta-star values.
• O. Gezmiş,
  • Deformation of multiple zeta values and their logarithmic interpretation in positive characteristic,
  • Trivial multiple zeta values in Tate algebras.
• R. Girgensohn,
  • Experimental evaluation of Euler sums,
  • Explicit evaluation of Euler sums,
  • Evaluation of triple Euler sums.
• C. Glanois,
  • Motivic fundamental groupoid of G _m\μ _N for N=2,3,4,6,8 and Galois descents ,
  • Unramified Euler sums and Hoffman ★ basis.
• N. Glazunov, ( p-Adic) L-functions and ( p-adic) (multiple) zeta values .
• A. B. Goncharov,
  • Multiple polylogarithms, cyclotomy, and modular complexes,
  • The dihedral Lie algebras and Galois symmetries of π ₁ ^{( l)} ( P ¹-({0,∞} ∪μ _N)) ,
  • Multiple ζ-values, Galois groups, and geometry of modular varieties,
  • Multiple ζ-motives and moduli spaces M _0,n .
• H. Gopalkrishna Gadiyar,
  • The values of an Euler sum at the negative integers and a relation to a certain convolution of Bernoulli numbers,
  • Alternating Euler sums at the negative integers.
• A. Granville, A decomposition of Riemann's zeta-function.
• W. S. Gray, Evaluating generating functions for periodic multiple polylogarithms via rational Chen-Fliess series.
• M. B. Green,
  • Modular graph functions,
  • Absence of irreducible multiple zeta-values in melon modular graph functions.
• N. Green,
  • Taylor coefficients of Anderson-Thakur series and explicit formulae,
  • On log-algebraic identities for Anderson t-modules and characteristic p multiple zeta values .
• P. Guha, Witten's volume formula, cohomological pairings of moduli spaces of flat connections and applications of multiple zeta functions.
• S. Gun,
  • On a conjecture of Chowla and Milnor,
  • Multiple Lerch zeta functions and an idea of Ramanujan.
• L. Guo,
  • Multiple zeta values and Rota-Baxter algebras,
  • Renormalization of multiple zeta values,
  • Differential Algebraic Birkhoff Decomposition and the renormalization of multiple zeta values,
  • Algebraic Birkhoff decomposition and its applications,
  • Explicit double shuffle relations and a generalization of Euler's decomposition formula,
  • Weighted sum formulas for multiple zeta values,
  • Double shuffle relations and renormalization of multiple zeta values,
  • Polylogarithms and multiple zeta values from free Rota-Baxter algebras,
  • The shuffle relation of fractions from multiple zeta values,
  • Conical zeta values and their double subdivision relations,
  • Sixfold restricted sum formula for multiple zeta values at even integers,
  • Algebraic Birkhoff factorization and the Euler-Maclaurin formula on cones,
  • Families of weighted sum formulas for multiple zeta values,
  • Applications of shuffle product to restricted decomposition formulas for multiple zeta values,
  • Rota-Baxter algebras and left weak composition quasi-symmetric functions,
  • Renormalized conical zeta values.
• Ö. Gürdoğan, Modular graph functions.

  ---

  H

  ---

• R. E. Haddad,
  • A generalization of multiple zeta values. Part 1: Recurrent sums,
  • A generalization of multiple zeta values. Part 2: Multiple sums.
• J. Halverson, Perturbative corrections to Kähler moduli spaces.
• R. Harada,
  • On Euler's formulae for double zeta values ,
  • On Lara Rodriguez' full conjecture for double zeta values in function fields,
  • Alternating multizeta values in positive characteristic,
  • On lower bounds of the dimensions of multizeta values in positive characteristic.
• H. He, Some identities for multiple alternating zeta values.
• Y. He, Some weighted sum formulas for multiple zeta, Hurwitz zeta, and alternating multiple zeta values.
• J. M. Henn, Evaluating multiple polylogarithm values at sixth roots of unity up to weight six.
• Kh. Hessami Pilehrood,
  • Congruences arising from Apéry-type series for zeta values,
  • New properties of multiple harmonic sums modulo p and p-analogues of Leshchiner's series ,
  • On q-analogues of two-one formulas for multiple harmonic sums and multiple zeta star values ,
  • On q-analogs of some families of multiple harmonic sum and multiple zeta star value identities ,
  • On q-analogues of double Euler sums ,
  • An alternative proof of a theorem of Zagier,
  • Multiple harmonic sums and multiple harmonic star sums are (nearly) never integers,
  • Generating functions for multiple zeta star values,
  • Multiple zeta-star values on 3-2-1 indices,
  • On 3-2-1 values of finite multiple harmonic q-series at roots of unity .
• T. Hessami Pilehrood,
  • Congruences arising from Apéry-type series for zeta values,
  • New properties of multiple harmonic sums modulo p and p-analogues of Leshchiner's series ,
  • On q-analogues of two-one formulas for multiple harmonic sums and multiple zeta star values ,
  • On q-analogs of some families of multiple harmonic sum and multiple zeta star value identities ,
  • On q-analogues of double Euler sums ,
  • An alternative proof of a theorem of Zagier,
  • Multiple harmonic sums and multiple harmonic star sums are (nearly) never integers,
  • Generating functions for multiple zeta star values,
  • Multiple zeta-star values on 3-2-1 indices,
  • On 3-2-1 values of finite multiple harmonic q-series at roots of unity .
• M. Hirose,
  • Duality/sum formulas for iterated integrals and their application to multiple zeta values,
  • Hoffman's conjectural identity ,
  • Iterated integrals on P ¹-{0,1,∞,z} and a class of relations among multiple zeta values ,
  • Ohno-type relations for classical and finite multiple zeta-star values,
  • A cyclic analogue of multiple zeta values,
  • Double shuffle relations for refined symmetric multiple zeta values,
  • Weighted sum formulas for multiple harmonic sums modulo primes,
  • Sum formula for multiple zeta function,
  • Polynomial generalization of the regularization theorem for multiple zeta values,
  • An interpolation of Ohno's relation to complex functions,
  • Q-linear relations of specific families of multiple zeta values and the linear part of Kawashima's relation ,
  • Generating functions for Ohno type sums of finite and symmetric multiple zeta-star values,
  • Linear relations of Ohno sums of multiple zeta values,
  • Algebraic differential formulas for the shuffle, stuffle and duality relations of iterated integrals,
  • Modular phenomena for regularlized double double zeta values,
  • On variants of symmetric multiple zeta-star values and the cyclic sum formula,
  • Generating functions for sums of polynomial multiple zeta values,
  • Ohno-type relation for interpolated multiple zeta values.,
  • Ohno relation for regularized multiple zeta values,
  • The connector for the double Ohno relation,
  • t-Adic symmetric multiple zeta values for indices in which 1 and 3 appear alternately ,
  • Colored double zeta values and modular forms of general level,
  • Block shuffle identities for multiple zeta values.
• V. Hoang Ngoc Minh,
  • Computation of the monodromy of generalized polylogarithms,
  • Shuffle algebra and generalized polylograthms,
  • Aspects combinatoires des polylogarithms et des sommes d'Euler-Zagier,
  • Lyndon words, polylogarithms, and the Riemann ζ function,
  • De l'algèbre des ζ de Riemann multivariées à l'algèbre des ζ de Hurwitz multivariées,
  • Shuffle algebra and differential Galois group of colored polylogarithms,
  • Analytic and combinatoric aspects of Hurwitz polyzêtas,
  • Algorithmic and combinatoric aspects of multiple harmonic sums,
  • Structure and asymptotic expansion of multiple harmonic sums,
  • Some results à l'Abel obtained by use of techniques à la Hopf,
  • Noncommutative algebra, multiple harmonic sums and applications in discrete probability,
  • Combinatorial study of Hurwitz polyzêtas ,
  • Computation tool for the q-deformed quasi-shuffle algebras and representations of the structure of MZVs ,
  • Harmonic sums and polylogarithms at negative multi-indices,
  • Structure of polyzetas and explicit representation on transcendence bases of shuffle and stuffle algebras,
  • Harmonic sums and polylogarithms at non-positive multi-indices.
• M. E. Hoffman,
  • Multiple harmonic series,
  • Sums of triple harmonic series,
  • The algebra of multiple harmonic series,
  • Quasi-shuffle products,
  • Periods of mirrors and multiple zeta values,
  • Relations of multiple zeta values and their algebraic expression,
  • Algebraic aspects of multiple zeta values,
  • The Hopf algebra structure of multiple harmonic sums,
  • Quasi-symmetric functions, multiple zeta values, and rooted trees,
  • A character on the quasi-symmetric functions coming from multiple zeta values,
  • Quasi-symmetric functions and mod p multiple harmonic sums ,
  • Sums of products of Riemann zeta tails,
  • Harmonic-number summation identities, symmetric functions, and multiple zeta values,
  • On multiple zeta values of even arguments,
  • Quasi-shuffle products revisited,
  • An odd variant of multiple zeta values,
  • An asymptotic series for an integral,
  • Quasi-shuffle algebras and applications,
  • Logarithmic integrals, zeta values, and tiered binomial coefficients,
  • Symmetry results for multiple t-values.
• S. Hohenegger, Monodromy relations in higher-loop string amplitudes.
• R. Hong, Some families of super congruences involving alternating multiple harmonic sums.
• Y. Horikawa, A note on derivation relations for multiple zeta values and finite multiple zeta values.
• I. Horozov,
  • Multiple zeta values and ideles,
  • Noncommutative Hilbert modular symbols,
  • Multiple Dedekind zeta values,
  • Double shuffle relations for multiple Dedekind zeta values,
  • Shuffle product for multiple Dedekind zeta values over imaginary quadratic fields,
  • Multiple Dedekind zeta values are periods of mixed Tate motives.
• T. Hoshi, On values of zeta functions of Arakawa-Kaneko type.
• W-C. Huang, A t-motivic interpretation of shuffle relations for multizeta values .
• J. G. Huard, On Tornheim's double series.
• A. Huber, Periods and Nori Stacks .

  ---

  I

  ---

• M. Igarashi,
  • Cyclic sum of certain parametrized multiple series,
  • A generalization of Ohno's relation for multiple zeta values,
  • Note on relations among multiple zeta(-star) values,
  • On generalizations of the sum formula for multiple zeta values,
  • Note on cyclic sum of certain parametrized multiple series.
• K. Ihara,
  • The quantum g2 invariant and relations of multiple zeta values,
  • Derivation and double shuffle relations for multiple zeta values,
  • Symmetry on linear relations for multiple zeta values.
  • Multiple zeta values vs. multiple zeta star values,
  • Quasi-shuffle products revisited.
• S. Ikeda,
  • On certain mean values of the double zeta function,
  • Double analogue of Hamburger's theorem,
  • On certain mean values of multiple zeta-functions,
  • On functional relations for Witten multiple zeta-functions,
  • Power moments for the double zeta-function,
  • On the functional relations for the Euler-Zagier multiple zeta functions.
• B-H. Im, Zagier-Hoffman's conjectures in positive characteristic.
• K. Imatomi,
  • On some combinations of multiple zeta-star values,
  • Multi-poly-Bernoulli numbers and finite multiple zeta values,
  • Multi-poly-Bernoulli-star numbers and finite multiple zeta-star values,
  • Ohno-type relations for classical and finite multiple zeta-star values.
• H. Ishikawa,
  • On analytic continuation of multiple L-functions and related zeta functions ,
  • On the estimation of the order of Euler-Zagier multiple zeta-functions.
• T. Ito, On analogues of the Arakawa-Kaneko zeta functions of Mordell-Tornheim type .
• K. Iwaki, Duality/sum formulas for iterated integrals and their application to multiple zeta values.

  ---

  J

  ---

• M. Jaban, Some infinite sums identities.
• G. Jacob,
  • Aspects combinatoires des polylogarithms et des sommes d'Euler-Zagier,
  • Lyndon words and shuffle algebras for generating the coloured multiple zeta values relations tables,
  • De l'algèbre des ζ de Riemann multivariées à l'algèbre des ζ de Hurwitz multivariées.
• A. Jafari, Regularization and generalized double shuffle relations for p-adic multiple zeta values .
• J. Jain, Proof of Kaneko-Tsumura conjecture on triple T-values .
• D. S. Jang, Explicit evaluations of special multiple zeta values ζ({4l+2} _n) and ζ({4l} _n) .
• D. Jarossay,
  • Double mélange des multizêtas finis et multizêtas symétrisés,
  • An explicit theory of π ₁ ^un,crys( P ¹-{0,μ _N, ∞}) - II-1: Standard algebraic relations of prime weighted multiple harmonic sums and adjoint multiple zeta values ,
  • An explicit theory of π ₁ ^un,crys( P ¹-{0,μ _N, ∞}) - I-2: Indirect solution of the equation of horizontality of Frobenius ,
  • An explicit theory of π ₁ ^un,crys( P ¹-{0,μ _N, ∞}) - I-1: Direct solution of the equation of horizontality of Frobenius ,
  • An explicit theory of π ₁ ^un,crys( P ¹-{0,μ _N, ∞}) - II-2: From algebraic relations of multiple harmonic sums to those of cyclotomic multiple zeta values ,
  • An explicit theory of π ₁ ^un,crys( P ¹-{0,μ _N, ∞}) - II-3: Sequences of multiple harmonic sums viewed as periods ,
  • Depth reductions for associators,
  • An explicit theory of π ₁ ^un,crys( P ¹-{0,μ _N, ∞}) - I-3: The number of iterations of Frobenius viewed as a variable ,
  • An explicit theory of π ₁ ^un,crys( P ¹-{0,μ _N, ∞}) - III-2: Around the nonvanishing of multiple harmonic sums ,
  • An explicit theory of π ₁ ^un,crys( P ¹-{0,μ _N, ∞}) - V1: The Frobenius extended to π ₁ ^un,DR( P ¹-{0,μ _{p ^α N} ,∞}) ,
  • p-Adic multiple zeta values at roots of unity and p-adic pro-unipotent harmonic actions - IV-1: p-adic multiple zeta values at roots of unity extended to sequences of integers with any sign ,
  • p-Adic multiple L-functions and cyclotomic multiple harmonic values ,
  • Pro-unipotent harmonic actions and dynamical properties of p-adic cyclotomic multiple zeta values .
• C-G. Ji, A simple proof of a curious congruence by Zhao.
• L. Jia,
  • A congruence involving harmonic sums modulo p ^αq ^β ,
  • Some identities for multiple Hurwitz zeta values.
• Z. Jin, Motivic multiple zeta values relative to µ ₂ .
• L. Jiu,
  • A symbolic approach to multiple zeta values at negative integers,
  • Integral representations of equally positive integer-indexed harmonic sums at infinity,
  • Matrix representation for multiplicative nested sums,
  • Analytic continuation for multiple zeta values using symbolic representations.
• H. Jockers, Perturbative corrections to Kähler moduli spaces.
• M. Joubat, The analytic structure of the BFKL equation and reflection identities of harmonic sums at weight five.
• P. F. Jordan, Infinite sums of psi functions.
• K. Joshi, The t-motivic mixed Carlitz zeta category and Carltiz-Thakur multi-zeta values .
• S. T. Joyner,
  • On a generalization of Chen's iterated integrals,
  • On an algebraic version of the Knizhnik-Zamolodchikov equation.
• M. Jung, Euler sums evaluatable from integrals.

  ---

  K

  ---

• S. Kadota,
  • Certain weighted sum formulas for multiple zeta values with some parameters,
  • Evaluation of Tornheim's type of double series,
  • On the parity result for multiple Dirichlet series,
  • On a unified double zeta function of Mordell-Tornheim type.
• J. Kajikawa,
  • Duality and double shuffle relations for multiple zeta values,
  • Multiple zeta values vs. multiple zeta star values.
• M. Yu. Kalmykov,
  • Single scale diagrams and multiple binomial sums,
  • Some remarks on the ε-expansion of dimensionally regulated Feynman diagrams,
  • New results for the ε-expansion of certain one-, two- and three-loop Feynman diagrams,
  • Massive Feynman diagrams and inverse binomial sums,
  • All order ε-expansion of Gauss hypergeometric functions with integer or half-integer values of parameters,
  • Multiple (inverse) binomial sums of arbitrary weight and depth and the all-order ε-expansion of generalized hypergeometric functions with one half-integer value of parameter,
  • On the all-order ε-expansion of generalized hypergeometric functions with integer values of parameters,
  • Towards all-order Laurent expansion of generalized hypergeometric functions around rational values of parameters,
  • "Sixth root of unity" and Feynman diagrams: hypergeometric function approach point of view.
• K. Kamano,
  • The multiple Hurwitz zeta function and a generalization of Lerch's formula,
  • Finite Mordell-Tornheim multiple zeta values,
  • Weighted sum formulas for finite multiple zeta values.
• J. Kamnitzer, Central binomial sums, multiple Clausen values, and zeta values.
• M. Kaneaki, Power moments for the double zeta-function.
• M. Kaneko,
  • Multiple zeta values, poly-Bernoulli numbers, and related zeta functions,
  • On multiple L-values ,
  • Multiple zeta values,
  • Double zeta values and modular forms,
  • Derivation and double shuffle relations for multiple zeta values,
  • On an extension of the derivation relation for multiple zeta values,
  • A note on poly-Bernoulli numbers and multiple zeta values,
  • On a conjecture for the dimension of the space of the multiple zeta values,
  • Poly-Bernoulli numbers and related zeta functions,
  • On a kind of duality of multiple zeta-star values,
  • Double zeta values, double Eisenstein series, and modular forms of level 2,
  • Multi-poly-Bernoulli numbers and finite multiple zeta values,
  • Multi-poly-Bernoulli numbers and related zeta functions,
  • On multiple zeta values of extremal height,
  • A new integral-series identity of multiple zeta values and regularizations,
  • Analogues of the Aoki-Ohno and Le-Murakami relations for finite multiple zeta values,
  • An introduction to classical and finite multiple zeta values,
  • Zeta functions connecting multiple zeta values and poly-Bernoulli numbers,
  • On multiple zeta values of level two,
  • Quasi-derivation relations for multiple zeta values revisited,
  • A generalized regularization theorem and Kawashima's theorem for multiple zeta values,
  • On finite multiple zeta values of level two,
  • Multiple L-values of level four, poly-Euler numbers, and related zeta functions .
• S. Kanemitsu, Convolution of Riemann zeta-values.
• M. Kato,
  • On certain two-parameter deformations of multiple zeta values,
  • A deformation of multiple L-values .
• H. Kawamura, Multivariable connected sums and multiple polylogarithms.
• N. Kawasaki,
  • On the duality and the derivation relations for multiple zeta values,
  • Combinatorial proofs of identities for special values of Arakawa-Kaneko multiple zeta functions,
  • Cyclic sums of finite multiple zeta values.
• G. Kawashima,
  • A class of relations among multiple zeta values,
  • A generalization of the duality for multiple harmonic sums,
  • Multiple series expressions for the Newton series which interpolate finite multiple harmonic sums.
  • A generalization of the duality for finite multiple harmonic q-series ,
  • Cyclic sum formula for multiple L-values .
• A. Keilthy,
  • Motivic multiple zeta values and the block filtration,
  • A generalization of quasi-shuffle algbras and an application to multiple zeta values.
• J. P. Kelliher, Analytic continuation of multiple Hurwitz zeta functions.
• M. Kijaczko, Multinomial coefficients, multiple zeta values, Euler sums and series of powers of the Hurwitz zeta function.
• H. Kim, Zagier-Hoffman's conjectures in positive characteristic.
• M-S. Kim, On the special values of Tornheim's multiple series.
• K. Kimoto, A variation of multiple L-values arising from the spectral zeta function of the non-commutative harmonic oscillator .
• A. Kimura, Intersection of duality and derivation relations for multiple zeta values.
• S. Kitani, Finite automata and relations of multiple zeta values.
• I. Kiuchi,
  • Bounds for double zeta-functions,
  • Bounds for triple zeta-functions,
  • Analytic properties of double zeta-functions,
  • Power moments for the double zeta-function.
  • Mean square formula for the double zeta-function,
  • The fourth power moment of the double zeta-function.
• B. A. Kniehl,
  • Towards all-order Laurent expansion of generalized hypergeometric functions around rational values of parameters,
  • "Sixth root of unity" and Feynman diagrams: hypergeometric function approach point of view.
• M. Kobayashi,
  • From Basel problem to multiple zeta values,
  • Integral evaluation of odd Euler sums, multiple t-value t(3,2,...,2), and multiple zeta value ζ(3,2,..2) .
• T. Komatsu, Incomplete multi-poly-Bernoulli numbers and multiple zeta values.
• Y. Kombu, A generating function for sums of multiple zeta values and its applications.
• N. Komiyama,
  • An equivalence between desingularized and renormalized values of multiple zeta functions at negative integers,
  • Shuffle-type product formulae of desingularized values of multiple zeta-functions,
  • On shuffle-type functional relations of desingualrized multiple zeta functions,
  • Relationship between renormalized values of shuffle type and of harmonic type of multiple zeta functions,
  • On properties of adari(pal) and ganit(pic).
• Y. Komori,
  • Zeta functions of root systems,
  • An integral representation of the Mordell-Tornheim double zeta function and its values at non-positive integers,
  • Zeta and L-functions and Bernoulli polynomials of root systems ,
  • On Witten multiple zeta-functions associated with semisimple Lie algebras II,
  • On Witten multiple zeta-functions associated with semisimple Lie algebras III,
  • On Witten multiple zeta-functions associated with semisimple Lie algebras IV,
  • Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems,
  • Functional relations for zeta-functions of root systems,
  • An introduction to the theory of zeta-functions of root systems,
  • Multiple Bernoulli polynomials and multiple zeta-functions of root systems,
  • On multiple Bernoulli polynomials and multiple L-functions of root systems ,
  • Multiple zeta values and zeta-functions of root systems,
  • A survey on the theory of multiple Bernoulli polynomials and multiple L-functions of root systems ,
  • Zeta-functions of weight lattices of compact connected semisimple Lie groups,
  • Functional equations and functional relations for the Euler double zeta-function and its generalization of Eisenstein type,
  • Functional equations for double L-functions and values at non-positive integers ,
  • Functional relations for zeta-values of weight lattices of type A ₃ ,
  • A study on multiple zeta values from the viewpoint of zeta-functions of root systems,
  • On Witten multiple zeta-functions associated with semisimple Lie algebras V,
  • Desingularization of multiple zeta-functions of generalized Hurwitz-Lerch type and evaluation of p-adic multiple L-functions at arbitrary integers ,
  • Lattice sums of hyperplane arrangements,
  • Desingularization of complex multiple zeta-functions,
  • Fundamentals of p-adic multiple L-functions and evaluation of their special values ,
  • Zeta-functions of root systems and Poincaré polynomials of Weyl groups,
  • On Arakawa-Kaneko zeta functions associated with GL ₂( C) and their functional relations ,
  • An overview and supplements to the theory of functional relations for zeta-functions of root systems,
  • Finite multiple zeta values, multiple zeta functions and multiple Bernoulli polynomials,
  • A congruence between symmetric multiple zeta-star values and multiple zeta-star values,
  • Finite multiple zeta values, symmetric multiple zeta values, and unified multiple zeta values.
• H. Kondo, The Bowman-Bradley theorem for multiple zeta-star values.
• M. Kontsevich, Periods.
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  • Generalized log sine integrals and the Mordell-Tornheim zeta values,
  • A functional relation for Tornheim's double zeta functions,
  • Mordell-Tornheim multiple zeta values at non-positive integers,
  • On generalized Mordell-Tornheim zeta functions,
  • On multiple Hurwitz zeta function of Mordell-Tornheim type.
• T. Onozuka,
  • Analytic continuation of multiple zeta-functions and the asymptotic behavior at non-positive integers,
  • Mean value theorems for the Mordell-Tornheim double zeta function,
  • The multiple Dirichlet product and the multiple Dirichlet series,
  • Laurent series expansions of multiple zeta-functions of Euler-Zagier type at integer points,
  • Functional equation for the Mordell-Tornheim multiple zeta-function,
  • Sum formula for multiple zeta function,
  • An interpolation of Ohno's relation to complex functions,
  • Derivation relation for finite multiple zeta values in 𝒜̂,
  • Bowman-Bradley type theorem for finite multiple zeta values in 𝒜 ₂ ,
  • Q-linear relations of specific families of multiple zeta values and the linear part of Kawashima's relation ,
  • Linear relations of Ohno sums of multiple zeta values,
  • Cyclic relation for multiple zeta function,
  • Connectors of the Ohno relation for parametrized multiple series.
• D. Orr,
  • Generalized log-sine integrals and Bell polynomials,
  • Elementary proofs of Zagier's formula for multiple zeta values and its odd variant.
• N. E. Oussous,
  • Aspects combinatoires des polylogarithms et des sommes d'Euler-Zagier,
  • Lyndon words and shuffle algebras for generating the coloured multiple zeta values relations tables,
  • De l'algèbre des ζ de Riemann multivariées à l'algèbre des ζ de Hurwitz multivariées.
• K. Oyama,
  • Ohno-type relation for finite multiple zeta values,
  • A note on derivation relations for multiple zeta values and finite multiple zeta values,
  • Analogues of the Aoki-Ohno and Le-Murakami relations for finite multiple zeta values,
  • Cyclic sums of finite multiple zeta values.

  ---

  P-Q

  ---

• R. Padma,
  • The values of an Euler sum at the negative integers and a relation to a certain convolution of Bernoulli numbers,
  • Alternating Euler sums at the negative integers.
• M. Pallewatta, On sum formulas for Mordell-Tornheim zeta values.
• E. Pan,
  • Topological properties of q-analogues of multiple zeta values ,
  • Sum of interpolated finite multiple harmonic q-series .
• A. Panholzer,
  • Computer-free evaluation of an infinite double sum via Euler sums,
  • A note on harmonic number idenities, Stirling series and multiple zeta values.
• Ł. Pańkowski,
  • Applications of hybrid universality to multivariable zeta-functions,
  • On complex zeroes off the critical line for non-monomial polynomial of zeta functions.
• E. Panzer,
  • The parity theorem for multiple polylogarithms,
  • The Galois coaction on φ ⁴ periods ,
  • Multiple zeta values in deformation quantization.
• M. A. Papanikolas, An effective criterion for Eulerian multizeta values in positive characteristic .
• F. Patras, Symmetril moulds, generic group schemes, resummation of MZVs.
• S. Paycha,
  • Double shuffle relations and renormalization of multiple zeta values,
  • Nested sums of symbols and renormalised multiple zeta functions,
  • Conical zeta values and their double subdivision relations,
  • Algebraic Birkhoff factorization and the Euler-Maclaurin formula on cones,
  • Renormalized conical zeta values.
• F. Pellarin,
  • A note on multiple zeta values in Tate algebras,
  • A sum-shuffle formula for zeta values in Tate algebras,
  • Trivial multiple zeta values in Tate algebras,
  • Universal families of Eulerian multiple zeta values in positive characteristics,
  • On twisted A-harmonic sums and Carlitz finite zeta values .
• R. Pemantle, When is 0.999... equal to 1?.
• B. Penante, From modular forms to differential equations for Feynman diagrams.
• R. Perkins, On twisted A-harmonic sums and Carlitz finite zeta values .
• D. Petersen, Brown's dihedral moduli space and freedom of the gravity operad.
• A. Petojević, Computation of the Mordell-Tornheim zeta values.
• M. Petitot,
  • Computation of the monodromy of generalized polylogarithms,
  • Shuffle algebra and generalized polylograthms,
  • Aspects combinatoires des polylogarithms et des sommes d'Euler-Zagier,
  • Lyndon words, polylogarithms, and the Riemann ζ function,
  • Lyndon words and shuffle algebras for generating the coloured multiple zeta values relations tables,
  • De l'algèbre des ζ de Riemann multivariées à l'algèbre des ζ de Hurwitz multivariées,
  • Structure and asymptotic expansion of multiple harmonic sums.
• L. H. Pham, Zagier-Hoffman's conjectures in positive characteristic .
• O. Phuksuwan, On Schur multiple zeta functions: a combinatoric generalization of multiple zeta functions.
• J. Pitman, Renewal sequences and record chains related to multiple zeta sums.
• H. Prodinger,
  • Computer-free evaluation of an infinite double sum via Euler sums,
  • Generalized reciprocity laws for sums of multiple harmonic numbers,
  • On a reciprocity law for finite multiple zeta values,
  • A note on Stirling series.
• A. Prygarin,
  • Reflection identities of harmonic sums up to weight three,
  • Reflection identities of harmonic sums of weight four,
  • The analytic structure of the BFKL equation and reflection identities of harmonic sums at weight five.
• G. Puhlfürst, Differential equations, associators, and recurrences for amplitudes.
• B. Pym, Multiple zeta values in deformation quantization.
• C. Qin,
  • Shuffle product formulas of multiple zeta values,
  • Stuffle product formulas of multiple zeta values,
  • Some relations of interpolated multiple zeta values,
  • Some relations deduced from regularized double shuffle relations of multiple zeta values,
  • Weighted sum formulas of multiple zeta values of even arguments.
• Z. Qin, On Okounkov's conjecture connecting Hilbert series of points and multiple q-zeta values .
• J. Qu, Some families of super congruences involving alternating multiple harmonic sums.
• J. Quan,
  • Alternating double t-values and T-values ,
  • Explicit formulas of alternating multiple zeta star values ζ ^★ ( 1,{1} _m-1, 1) and ζ ^★ (2,{1} _m-1, 1) ,
  • Some results on q-multiple harmonic sums ,
  • Parametric Euler sums of harmonic numbers.

  ---

  R

  ---

• C. G. Raab, Iterated binomial sums and their associated iterated integrals.
• G. Racinet,
  • Torseurs associés à certaines relations algébriques entre polyzêtas aux racines de l'unité,
  • Algèbre de Lie de valeuers formelles d'hyperlogarithmes aux racines de l'unité,
  • Formal computations about multiple zeta values,
  • Doubles mélanges des polylogarithmes multiples aux racines de l'unité.
• E. Ragoucy, Superstring amplitudes and the associator.
• M. Rahmani, On p-Bernoulli numbers and polynomials .
• T. M. Rassias, Some classes of infinite series associated with the Riemann zeta and polygamma functions and generalized harmonic numbers.
• P. Rath, On a conjecture of Chowla and Milnor.
• E. Remiddi, Harmonic polylogarithms.
• G. Richter, Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes.
• L. Rolen, Explorations in the theory of partition zeta functions.
• D. Romik, On the number of n-dimensional representations of SU(3), the Bernoulli numbers, and the Witten zeta function .
• E. Rowland, Lucas congruences for the Apéry numbers modulo p ² .
• T. Rivoal,
  • Séries hypergéometriques multiples et polyzêtas,
  • Phénomènes de symétrie dans des formes linéaires en polyzêtas,
  • Hypergeometric constructions of rational approximations for (multiple) zeta values,
  • Multiple zeta values, Padé approximation and Vasilyev's conjecture.
• J. R. Rhodes, From polygons and symbols to polylogarithmic functions.
• J. Rosen,
  • Multiple harmonic sums and Wolstenholme's theorem,
  • Asymptotic relations for truncated multiple zeta values.
  • The MHS algebra and supercongruences,
  • The completed finite period map and Galois theory of supercongruences.
• J. H. Ryoo, Some multi-set inclusions associated with shuffle convolutions and multiple zeta values.

  ---

  S

  ---

• A. Saad, Multiple zeta values and iterated Eisenstein integrals.
• B. Sadaoui,
  • Multiple zeta values at the non-positive integers,
  • Special values of generalized multiple Hurwitz zeta function at non-positive integers.
• B. Saha,
  • Analytic properties of multiple zeta functions and certain weighted variants, an elementary approach,
  • Analytic properties of multiple Dirichlet series associated to additive and Dirichlet characters,
  • Multiple Lerch zeta functions and an idea of Ramanujan,
  • Multiple Stieltjes constants and Laurent type expansion of the multiple zeta functions at integer points.
• D. K. Sahoo, An identity involving weighted and desinguarlized multiple zeta functions.
• S. Saito,
  • The Bowman-Bradley theorem for multiple zeta-star values,
  • Combinatorial remarks on the cyclic sum theorem for multiple zeta values,
  • Bowman-Bradley type theorem for finite multiple zeta values,
  • Sum formula for finite multiple zeta values,
  • Restricted sum formula for finite and symmetric multiple zeta values,
  • Ohno-type relations for classical and finite multiple zeta-star values,
  • Numerical tables of finite multiple zeta values ,
  • Weighted sum formulas for multiple harmonic sums modulo primes,
  • Polynomial generalization of the regularization theorem for multiple zeta values,
  • Analogues of the Aoki-Ohno and Le-Murakami relations for finite multiple zeta values,
  • Generating functions for Ohno type sums of finite and symmetric multiple zeta-star values,
  • Generating functions for sums of polynomial multiple zeta values,
  • Ohno relation for regularized multiple zeta values,
  • t-Adic symmetric multiple zeta values for indices in which 1 and 3 appear alternately .
• M. Sakata,
  • On multiple zeta values of extremal height,
  • Taylor series for the reciprocal gamma function and multiple zeta values,
  • On multiple zeta values and finite multiple zeta values of maximal height.
• K. Sakugawa,
  • On functional equations of finite multiple polylogarithms,
  • Finite and étale polylogarithms.
• A. Salerno,
  • Mould theory and the double shuffle Lie algebra structure,
  • Symmetries of rational functions arising in Écalle's study of multiple zeta values.
• K. Sakurada, A note on ℱ _n-mutliple zeta values .
• B. Salvy, Euler sums and contour integral representations.
• C. E. Sandifer, Mult-zeta functions.
• Y. Sasaki,
  • Multiple zeta values for coordinatewise limits at non-positive integers,
  • The first derivative multiple zeta values at non-positive integers,
  • On multiple higher Mahler measures and multiple L-values ,
  • On multiple higher Mahler measures and Witten zeta values associated with semisimple Lie algebras,
  • Zeta Mahler measures, multiple zeta values, and L-values .
• N. Sato,
  • Duality/sum formulas for iterated integrals and their application to multiple zeta values,
  • Hoffman's conjectural identity ,
  • Iterated integrals on P ¹-{0,1,∞,z} and a class of relations among multiple zeta values ,
  • Linear relations of Ohno sums of multiple zeta values,
  • Algebraic differential formulas for the shuffle, stuffle and duality relations of iterated integrals,
  • The connector for the double Ohno relation,
  • Block shuffle identities for multiple zeta values.
• E. Sawada, Finite automata and relations of multiple zeta values.
• D. Schindler, Symmetries of rational functions arising in Écalle's study of multiple zeta values.
• K.-G. Schlesinger, Some remarks on q-deformed multiple polylogarithms .
• O. Schlotterer,
  • Polylogarithms, multiple zeta values and superstring amplitudes,
  • All order alpha'-expansion of superstring trees from the Drinfeld associator,
  • Relations between elliptic multiple zeta values and a special derivation algebra,
  • Elliptic multiple zeta values and one-loop superstring amplitudes,
  • Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes,
  • From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop,
  • One-loop string scattering amplitudes as iterated Eisenstein integrals.
• M. Schmidt, Stirling numbers, central factorial numbers, and representations of the Riemann zeta function .
• C. Schneider,
  • When is 0.999... equal to 1?,
  • Generalized reciprocity laws for sums of multiple harmonic numbers,
  • Harmonic sums and polylogarithms generated by cyclotomic polynomials,
  • Analytic and algebraic aspects of generalized harmonic sums and polylogarithms,
  • Iterated binomial sums and their associated iterated integrals,
  • Generalized harmonic, cyclotomic, and binomial sums, their polylogarithms and special numbers.
• R. P. Schneider,
  • Partition zeta functions,
  • Explorations in the theory of partition zeta functions.
• L. Schneps,
  • Algebra of cell-zeta values,
  • Period polynomial relations between double zeta values ,
  • Double shuffle and Kashiwara-Vergne Lie algebras,
  • Combinatorics of the double shuffle Lie algebra,
  • Dual-depth adapted formal multizeta values,
  • On the Broadhurst-Kreimer generating series for multiple zeta values,
  • Elliptic double shuffle, Grothendieck-Teichmüller and mould theory,
  • Mould theory and the double shuffle Lie algebra structure,
  • Elliptic multiple zeta values and the elliptic double shuffle relations.
• O. Schnetz,
  • Single-valued polylogarithms and a proof of the zig-zag conjecture,
  • The Galois coaction on φ ⁴ periods ,
  • Numbers and functions in quantum field theory,
  • The Galois coaction on the electron anomalous magnetic moment.
• C. Schubert, A quantum field theoretical representation of Euler-Zagier sums.
• S-I. Seki,
  • On functional equations of finite multiple polylogarithms,
  • The p-adic duality for the finite multiple polylogarithms ,
  • Finite and étale polylogarithms,
  • Ohno-type identities for multiple harmonic sums,
  • A new proof of the duality of multiple zeta values and its generalizations,
  • Bowman-Bradley type theorem for finite multiple zeta values in 𝒜 ₂ ,
  • Truncated t-adic symmetric multiple zeta values and double shuffle relations ,
  • A note on ℱ _n-multiple zeta values ,
  • Multivariable connected sums and multiple polylogarithms,
  • The connector for the double Ohno relation.
• C. Sekine, Partial sums of multiple zeta value series.
• K. Senthil Kumar, Order structure and topological properties of the set of multiple zeta values.
• L-C. Shen, Remarks on some integrals and series involving the Stirling numbers and ζ(n).
• Q. Shen, Zero distribution of v-adic multiple zeta values over F _q( t) .
• Z. Shen,
  • Some identities for multiple zeta values,
  • Congruences for alternating triple harmonic series,
  • Some identities for alternating multiple zeta values.
  • A congruence involving harmonic sums modulo p ^αq ^β ,
  • Congruences involving alternating harmonic sums modulo p ^αq ^β ,
  • Super congruences involving alternating harmonic sums mod prime powers,
  • Some weighted sum identities for double zeta values,
  • Some identities for multiple Hurwitz zeta values,
  • Some identities for multiple alternating zeta values.
• D. Y. Shi, Matrix representation for multiplicative nested sums.
• S. Shi, Vanishing of multiple zeta values over F _q [ t] at negative integers .
• Z. Shi, Euler sums and integrals of polylogarithm functions.
• M. Shōji,
  • Numerical computations on the zeroes of the Euler double zeta-function I,
  • Numerical computations on the zeroes of the Euler double zeta-function II.
• X. Si,
  • Quadratic and cubic harmonic number sums,
  • Evaluations of some quadratic Euler sums.
• J. Singer,
  • On q-analogues of multiple zeta values ,
  • Renormalization of q-regularized multiple zeta values ,
  • The Hopf algebra of ( q)multiple polylogarithms with nonpositive arguments ,
  • Renormalization group for multiple zeta values,
  • Duality and ( q-)multiple zeta values ,
  • On Bradley's q-MZVs and a generalized Euler decomposition forumula ,
  • Finite and symmetrized colored multiple zeta values,
  • q-Analogues of multiple zeta values and their application in renormalization .
• K. Sinha, Multiple Hurwitz zeta functions.
• R. Sitaramachandrarao,
  • On some infinite series of L. J. Mordell and their analogues,
  • Transformation formulae for multiple series.
• A. V. Smirnov, Evaluating multiple polylogarithm values at sixth roots of unity up to weight six.
• V. A. Smirnov, Evaluating multiple polylogarithm values at sixth roots of unity up to weight six.
• S. Sneh Bala, Some infinite sums identities.
• J-W. Son, Explicit evaluations of special multiple zeta values ζ({4l+2} _n) and ζ({4l} _n) .
• J. Sondow, Integrals over polytopes, multiple zeta values and polylogarithms, and Euler's constant.
• I. Soudères,
  • Motivic double shuffle,
  • Explicit associator relations for multiple zeta values,
  • Multiple zeta value cycles in low weight,
  • Cycle complex over P ¹ minus 3 points: toward multiple zeta value cycles .
• H. M. Srivastava,
  • Some classes of infinite series associated with the Riemann zeta and polygamma functions and generalized harmonic numbers,
  • Explicit evaluation of Euler and related sums,
  • Computation of the Mordell-Tornheim zeta values,
  • Some applications of the Gamma and polygamma functions involving convolutions of the Rayleigh functions, multiple Euler sums and log-sine integrals.
• S. Stieberger,
  • Polylogarithms, multiple zeta values and superstring amplitudes,
  • All order alpha'-expansion of superstring trees from the Drinfeld associator,
  • Closed superstring amplitudes, single-valued multiple zeta values, and Deligne associator,
  • Differential equations, associators, and recurrences for amplitudes,
  • Periods and superstring amplitudes,
  • Monodromy relations in higher-loop string amplitudes.
• A. Straub,
  • Special values of generalized log-sine integrals,
  • Log-sine evaluations of Mahler measures,
  • Log-sine evaluations of Mahler measures II,
  • Relations for Nielsen polylogarithms,
  • Identities for Bernoulli polynomials related to multiple Tornheim zeta functions.
• J. Su, Arithmetic of Potts model hypersurfaces.
• M. V. Subbarao,
  • On some infinite series of L. J. Mordell and their analogues,
  • Transformation formulae for multiple series.
• Y. Sumino,
  • Algorithms to evaluate multiple sums for loop computations,
  • Singularities and multiple zeta values in Feynman loop integrals.
• R. Szwarc, Symmetric moment problems and a conjecture of Valent.

  ---

  T

  ---

• T. Takamuki,
  • The Kontsevich invariant and relations of multiple zeta values,
  • The quantum g2 invariant and relations of multiple zeta values.
• E. Takeda, Multi-poly-Bernoulli numbers and finite multiple zeta values.
• W. Takeda,
  • The Pieri formula for hook type Schur multiple zeta functions,
  • Shuffle product formula of the Schur multiple zeta values of hook type,
  • An interpolation of the generalized duality formula for the Schur multiple zeta values to complex functions.
• Y. Takeyama,
  • On relations for the multiple q-zeta values ,
  • A q-analogue of non-strict multiple zeta values and basic hypergeometric series ,
  • Quadratic relations for a q-analogue of multiple zeta values ,
  • A restricted sum formula for a q-analogue of multiple zeta values ,
  • The algebra of a q-analogue of multiple harmonic series ,
  • Cyclotomic analogues of finite multiple zeta values,
  • Special values of finite multiple harmonic q-series at roots of unity ,
  • Derivations on the algebra of multiple harmonic q-series and their applications ,
  • Finite and symmetric Mordell-Tornheim multiple zeta values,
  • Supercongruences of multiple harmonic q-sums and generalized finite/symmetric multiple zeta values .
  • On a weighted sum of multiple T-values of fixed weight and depth,
  • A deformation of multiple L-values .
• N. Tamang, A simple observation on decomposition of multiple zeta values.
• I. Tanackov, On the behavior of multiple zeta-functions with identical arguments on the real line.
• T. Tanaka,
  • On the quasi-derivation relation for multiple zeta values,
  • An algebraic proof of cyclic sum formula for multiple zeta values,
  • Algebraic interpretation of Kawashima relation for multiple zeta values,
  • A simple proof of a certain formula for multiple zeta-star values,
  • On some combinations of multiple zeta-star values,
  • The Bowman-Bradley theorem for multiple zeta-star values,
  • Combinatorial remarks on the cyclic sum theorem for multiple zeta values,
  • Cyclic sum formula for multiple L-values ,
  • Restricted sum formula and derivation relation for multiple zeta values,
  • Kawashima's relations for interpolated multiple zeta values,
  • On the duality and the derivation relations for multiple zeta values,
  • Rooted tree maps,
  • Rooted tree maps and the derivation relation for multiple zeta values,
  • Rooted tree maps and the Kawashima relations for multiple zeta values,
  • Algebraic aspects of rooted tree maps,
  • Rooted tree maps for multiple L-values .
• L. Tancredi, From modular forms to differential equations for Feynman diagrams.
• W. Tang, Renewal sequences and record chains related to multiple zeta sums.
• Y. Tanigawa,
  • Convolution of Riemann zeta-values,
  • Analytic continuation of multiple zeta-functions and their values at non-positive integers,
  • Multiple zeta values at non-positive integers,
  • Bounds for double zeta-functions,
  • Bounds for triple zeta-functions,
  • Analytic properties of Dirichlet series obtained from the error term in the Dirichlet divisor problem,
  • Analytic properties of double zeta-functions ,
  • Moment integrals of 1/sin t and related zeta-values ,
  • Bounds of double zeta-functions and their applications,
  • Mean square of double zeta-function.
• K. Tasaka,
  • On some combinations of multiple zeta-star values,
  • Double zeta values, double Eisenstein series, and modular forms of level 2,
  • On some multiple zeta-star values of one-two-three indices,
  • Remarks on double zeta values of level 2,
  • On linear relations among totally odd multiple zeta values related to period polynomials,
  • The double shuffle relations for multiple Eisenstein series,
  • Evaluation of Tornheim's type of double series,
  • Duality/sum formulas for iterated integrals and their application to multiple zeta values,
  • Cyclotomic analogues of finite multiple zeta values,
  • Relationships between multiple zeta values of depth 2 and 3 and period polynomials,
  • Special values of finite multiple harmonic q-series at roots of unity ,
  • Finite and symmetric colored multiple zeta values and multiple harmonic q-series at roots of unity ,
  • Finite and symmetric Mordell-Tornheim multiple zeta values,
  • Supercongruences of multiple harmonic q-sums and generalized finite/symmetric multiple zeta values ,
  • On a unified double zeta function of Mordell-Tornheim type,
  • Note on totally odd multiple zeta values .
• R. Tauraso,
  • Congruences involving multiple harmonic sums,
  • New harmonic number identities with applications,
  • Congruences of alternating multiple harmonic sums,
  • New properties of multiple harmonic sums modulo p and p-analogues of Leshchiner's series ,
  • Multiple harmonic sums and multiple harmonic star sums are (nearly) never integers
  • On 3-2-1 values of finite multiple harmonic q-series at roots of unity .
• L-P. Teo,
  • Alternating double Euler sums, hypergeometric identities and a theorem of Zagier,
  • On Zagier's conjecture about the image of a matrix related to double zeta values.
• T. Terasoma,
  • Selberg integrals and multiple zeta values,
  • Mixed Tate motives and multiple zeta values,
  • Geometry of multiple zeta values,
  • Period integrals and multiple zeta values,
  • All order alpha'-expansion of superstring trees from the Drinfeld associator,
  • Brown-Zagier relation for associators.
• D. Terhune,
  • Evaluation of double L-values ,
  • Evaluations of a class of double L-values .
• D. S. Thakur,
  • Function Field Arithmetic ,
  • Multizeta values for F _q [ t], their period interpretation, and relations between them ,
  • Relations between multizeta values for F _q [ t] ,
  • Power sums with applications to multizeta and zeta zero distribution for F _q [ t] ,
  • Shuffle relations for function field multiple zeta values,
  • Zeta-like multizeta values for F _q [ t] ,
  • Arithmetic of gamma, zeta and multizeta values for function fields,
  • Multizeta shuffle relations for function fields with non rational infinite place,
  • Multizeta values for function fields: a survey,
  • Zeta-like multizeta values for higher genus curves,
  • Multzeta in function field arithmetic.
• J-Y. Thibon, Binary shuffle bases for quasi-symmetric functions.
• K. Thielen, A family of super congruences involving multiple harmonic sums.
• Q. Tian, Evaluation of a class of double L-values of Tornheim's type .
• G. Todd, A conjectural characterization of F _q [ t]-linear relations between multizeta values .
• I. Todorov,
  • Polylogarithms and multizeta values in massless Feynman amplitudes,
  • Hyperlogarithms and periods in Feynman amplitudes.
• Y. Toma, Mean value theorems for the Apostol-Vu double zeta-function and its application.
• D. Tommasini, On the reduction of generalized polylogarithms to Li _n and Li _2,2 and on the evaluation thereof .
• L. Tornheim, Harmonic double series.
• H. Tsumura,
  • On some combinatorial relations for Tornheim's double series,
  • On alternating analogues of Tornheim's double series,
  • Evaluation formulas for Tornheim's type of alternating double series,
  • On evaluation formulas for double L-values ,
  • Combinatorial relations for Euler-Zagier sums,
  • Multiple harmonic series related to multiple Euler numbers,
  • On Mordell-Tornheim zeta values,
  • Certain functional relations for the double harmonic series related to the double Euler numbers,
  • On some functional relations between Mordell-Tornheim double L-functions and Dirichlet L-functions ,
  • Generalized multiple Dirichlet series and generalized multiple polylogarithms,
  • On Witten multiple zeta-functions associated with semisimple Lie algebras I,
  • Zeta functions of root systems,
  • On certain polylogarithmic double series,
  • On the parity conjecture for multiple L-values of conductor four ,
  • On functional relations between the Mordell-Tornheim double zeta functions and the Riemann zeta function,
  • Functional relations and special values of Mordell-Tornheim triple and L-functions ,
  • A new method of producing functional relations among multiple zeta-functions,
  • On value-relations, functional relations and singularities of Mordell-Tornheim and related triple zeta-functions,
  • Functional relations among certain double polylogarithms and their character analogues,
  • Zeta and L-functions and Bernoulli polynomials of root systems ,
  • On alternating analogues of Tornheim's double series II,
  • On Witten multiple zeta-functions associated with semisimple Lie algebras II,
  • On Witten multiple zeta-functions associated with semisimple Lie algebras III,
  • On Witten multiple zeta-functions associated with semisimple Lie algebras IV,
  • Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems,
  • Functional relations for zeta-functions of root systems,
  • An introduction to the theory of zeta-functions of root systems,
  • Multiple Bernoulli polynomials and multiple zeta-functions of root systems,
  • On multiple Bernoulli polynomials and multiple L-functions of root systems ,
  • Multiple zeta-functions associated with linear recurrence sequences and the vectorial sum formula,
  • Multiple zeta values and zeta-functions of root systems,
  • A survey on the theory of multiple Bernoulli polynomials and multiple L-functions of root systems ,
  • Zeta-functions of weight lattices of compact connected semisimple Lie groups,
  • Functional equations and functional relations for the Euler double zeta-function and its generalization of Eisenstein type,
  • Functional equations for double L-functions and values at non-positive integers ,
  • Functional relations for zeta-values of weight lattices of type A ₃ ,
  • Mean value theorems for double zeta-functions,
  • A study on multiple zeta values from the viewpoint of zeta-functions of root systems,
  • On Witten multiple zeta-functions associated with semisimple Lie algebras V,
  • Desingularization of multiple zeta-functions of generalized Hurwitz-Lerch type and evaluation of p-adic multiple L-functions at arbitrary integers ,
  • Lattice sums of hyperplane arrangements,
  • Multi-poly-Bernoulli numbers and related zeta functions,
  • Desingularization of complex multiple zeta-functions,
  • Fundamentals of p-adic multiple L-functions and evaluation of their special values ,
  • On multiple series of Eisenstein type,
  • Zeta-functions of root systems and Poincaré polynomials of Weyl groups,
  • On Arakawa-Kaneko zeta functions associated with GL ₂( C) and their functional relations .
  • An overview and supplements to the theory of functional relations for zeta-functions of root systems,
  • Zeta functions connecting multiple zeta values and poly-Bernoulli numbers,
  • On multiple zeta values of level two.
  • Multiple L-values of level four, poly-Euler numbers, and related zeta functions .
• K. Tsurumaki, On a conjecture for the dimension of the space of the multiple zeta values.
• A. Tucker, Symmetries of rational functions arising in Écalle's study of multiple zeta values.

  ---

  U

  ---

• K. Ueno,
  • Relations for multiple zeta values and Mellin transforms of multiple polylogarithms,
  • The sum formula for multiple zeta values and connection problem of the formal Knizhnik-Zamolodchikov equation,
  • New approach to Ohno relations for multiple zeta values,
  • Finite automata and relations of multiple zeta values,
  • KZ equation of the moduli space M _0,5 and the harmonic product of multiple polylogarithms ,
  • Iterated integrals and relations of multiple polylogarithms,
  • Connection property of Knizhnik-Zamolodchikov equation on moduli space M _0,5 ,
  • Fundamental solutions of the Knizhnik-Zamolodchikov equation of one variable and the Riemann-Hilbert problem.
• E. A. Ulanskii,
  • Identities for generalized polylogarithms,
  • Stuffle relations for multiple zeta values.
  • Multiple zeta values,
  • A new proof of the theorem on Ohno relations for MZVs.
• R. Umezawa,
  • On an analog of the Arakawa-Kaneko zeta function and relations of some multiple zeta values,
  • Multiple zeta values and iterated log-sine integrals,
  • Evaluation of iterated log-sin integrals in terms of multiple polylogarithms.
• S. Ünver,
  • p-Adic multi-zeta values ,
  • Drinfel'd-Ihara relations for p-adic multi-zeta values ,
  • A note on the algebra of p-adic multi-zeta values ,
  • Cyclotomic p-adic multi-zeta values in depth two ,
  • Cyclotomic p-adic multi-zeta values .
• A. Ünal, A two-variable Dirichlet series and its applications.
• P. Uwer, Nested sums, expansion of transcendental functions and multiscale multiloop integrals.

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  V

  ---

• J. Van Der Hoeven,
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  • Shuffle algebra and generalized polylograthms.
• P. Vanhove, Modular graph functions.
• J. van Ittersum, Partitions, multiple zeta values, and the q-bracket .
• O. Veretin, Single scale diagrams and multiple binomial sums.
• M. Vergne, Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces.
• J. A. M. Vermaseren,
  • Harmonic sums, Mellin transforms and integrals,
  • Harmonic polylogarithms,
  • Deep inelastic structure functions at two loops,
  • The multiple zeta value data mine,
  • About a conjectured basis for multiple zeta values.
• A. Vieru, Analytic renormalization of multiple zeta values. Geometry and combinatorics of generalized Euler reflection formula for MZV.
• C. Vignat,
  • A symbolic approach to multiple zeta values at negative integers,
  • Multiple zeta values for classical special functions,
  • Structural properties of multiple zeta values ,
  • Analytic continuation for multiple zeta values using symbolic representations,
  • Identities for Bernoulli polynomials related to multiple Tornheim zeta functions.
• R-O. Vîlceanu, The multiple zeta function and the computation of some integrals in compact form .
• G. K. Viswanadham,
  • Analytic properties of multiple zeta functions and certain weighted variants, an elementary approach,
  • Analytic continuation of multiple Hurwitz zeta functions,
  • Products of weighted multiple zeta functions,
  • An identity involving weighted and desinguarlized multiple zeta functions.
• D. Volin, Multiple zeta functions and double wrapping in planar N = 4 SYM .
• J. Vollinga, Numerical evaluation of multiple polylogarithms.
• T. H. Vu, Dirichlet series related to the Riemann zeta function.

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  W

  ---

• F. Wagner, Totally odd depth-graded multiple zeta values and period polynomials.
• I. Wakabayashi, Laurent series expansions of multiple zeta-functions of Euler-Zagier type at integer points.
• N. Wakabayashi,
  • Cyclic sum of multiple zeta values,
  • An algebraic proof of cyclic sum formula for multiple zeta values,
  • On some combinations of multiple zeta-star values,
  • Combinatorial remarks on the cyclic sum theorem for multiple zeta values,
  • On generating functions of multiple zeta values and generalized hypergeometric functions,
  • Cyclic sum formula for multiple L-values ,
  • On Hoffman's relation for multiple zeta-star values,
  • On generating functions for certain sums of multiple zeta values and a formula of S. Zlobin,
  • Bowman-Bradley type theorem for finite multiple zeta values,
  • Sum formula for finite multiple zeta values,
  • Kawashima's relations for interpolated multiple zeta values,
  • Interpolation of q-analogue of multiple zeta and zeta-star values ,
  • Double shuffle and Hoffman's relations for interpolated multiple zeta values,
  • Sum of interpolated multiple q-zeta values ,
  • Rooted tree maps for multiple L-values .
• T. Wakhare,
  • Multiple zeta values for classical special functions,
  • Structural properties of multiple zeta values ,
  • Analytic continuation for multiple zeta values using symbolic representations.
• M. Waldschmidt,
  • Valeurs zêta multiples. Une introduction,
  • Hopf algberas and transcendental numbers,
  • Multiple polylogarithms: an introduction,
  • Transcendence of periods: the state of the art,
  • Una introducción elemental a valores múltiples.
• J. Wan,
  • Log-sine evaluations of Mahler measures II,
  • Some notes on weighted sum formulae for double zeta values.
• D. Wang, Some families of super congruences involving alternating multiple harmonic sums.
• L. Wang,
  • A curious congruence modulo prime powers,
  • A new curious congruence involving multiple harmonic sums,
  • A family of super congruences involving multiple harmonic sums,
  • New congruences on multiple harmonic sums and Bernoulli numbers.
• Q. Wang, Moduli spaces and multiple polylogarithm motives.
• Weijia Wang, Mordell-Tornheim double Eisenstein series.
• Weiping Wang,
  • Euler sums and Stirling sums,
  • Explicit formulas of Euler sums via multiple zeta values,
  • Two variants of Euler sums,
  • Alternating multiple zeta values, and explicit formulas of some Euler-Apéry-type series,
  • Dirichlet type extensions of Euler sums,
  • On variants of the Euler sums and symmetric extensions of the Kankeo-Tsumura Conjecture.
• X. Wang, Parametric Euler sums of harmonic numbers.
• Y. Wang,
  • Modulo p ² congruences involving harmonic numbers ,
  • Modulo p ² congruences involving generalized harmonic numbers .
• Z. Wang,
  • Weighted sum formula of multiple L-values and its applications ,
  • Integrality and some evaluations of odd multiple harmonic sums.
• B. F. L. Ward,
  • All order ε-expansion of Gauss hypergeometric functions with integer or half-integer values of parameters,
  • Multiple (inverse) binomial sums of arbitrary weight and depth and the all-order ε-expansion of generalized hypergeometric functions with one half-integer value of parameter,
  • On the all-order ε-expansion of generalized hypergeometric functions with integer values of parameters.
• H. Wayama, Interpolated multiple zeta functions of Arakawa-Kaneko type .
• C-S. Wei,
  • A short proof of the sum formula and its generalization,
  • Explicit evaluations of quadruple Euler sums,
  • Evaluation of some quadruple Euler sums of even weight,
  • Generalizations of Euler decomposition and their applications,
  • Double weighted sum formulas of multiple zeta values .
• X. Wei, Parametric Euler sums of harmonic numbers.
• S. Weinzierl,
  • Nested sums, expansion of transcendental functions and multiscale multiloop integrals,
  • Numerical evaluation of multiple polylogarithms,
  • Feynman integrals and multiple polylogarithms.
• C. Wever, On the reduction of generalized polylogarithms to Li _n and Li _2,2 and on the evaluation thereof .
• G. T. Williams, A new method of evaluating ζ(2 n) .
• K. S. Williams, On Tornheim's double series.
• Z. Wojtkowiak, A weak Euler formula for l-adic Galois double zeta values .

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  X-Y

  ---

• B. Xia, Bernoulli numbers and congruences of harmonic sums.
• B. Xie,
  • Explicit double shuffle relations and a generalization of Euler's decomposition formula,
  • Weighted sum formulas for multiple zeta values,
  • Double shuffle relations and renormalization of multiple zeta values,
  • The shuffle relation of fractions from multiple zeta values.
• C. Xu,
  • Euler sums and integrals of polylogarithm functions,
  • Explicit evaluation of quadratic Euler sums,
  • On harmonic numbers and nonlinear Euler sums,
  • Some evaluation of harmonic number sums,
  • Multiple zeta values and Euler sums,
  • Tornheim type series and nonlinear Euler sums,
  • Integrals of logarithmic functions and alternating multiple zeta values,
  • Explicit evaluation of harmonic sums,
  • Evaluations of some quadratic Euler sums,
  • Quadratic and cubic harmonic number sums,
  • Some evaluation of q-analogues of Euler sums ,
  • Computation and theory of Euler sums of generalized hyperharmonic numbers,
  • Explicit evaluations of sums of sequence tails,
  • Identities for the multiple zeta (star) values,
  • Explicit formulas of Euler sums via multiple zeta values,
  • Some evaluation of cubic Euler sums,
  • Evaluations of nonlinear Euler sums of weight ten,
  • Two variants of Euler sums,
  • Evaluations of multiple polylogarithm functions, multiple zeta values and related zeta values,
  • Weighted sum formulas of multiple t-values with even arguments ,
  • Alternating multiple zeta values, and explicit formulas of some Euler-Apéry-type series,
  • Variants of multiple zeta values with even and odd summation indices,
  • Explicit relations between Kaneko-Yamamoto type multiple zeta values and related variants,
  • Some results on multiple polylogarithm functions and alternating multiple zeta values,
  • Duality of weighted sum formulas of alternating multiple T-values ,
  • Explicit formulas of some mixed Euler sums via alternating multiple zeta values,
  • Dirichlet type extensions of Euler sums,
  • A generalized regularization theorem and Kawashima's theorem for multiple zeta values,
  • On q-analogues of quadratic Euler sums ,
  • Explicit relations between multiple zeta values and related variants,
  • Explicit relations of some variants of convoluted multiple zeta values,
  • Explicit evaluations of several variants of Euler sums.
  • Proof of Kaneko-Tsumura conjecture on triple T-values ,
  • Duality formulas for Arakawa-Kaneko zeta values and related variants,
  • On variants of the Euler sums and symmetric extensions of the Kankeo-Tsumura Conjecture,
  • Apéry-type series and colored multiple zeta values ,
  • Extensions of Euler-type sums and Ramanujan-type sums,
  • Apéry-type series with summation indices of mixed parities and colored multiple zeta values I,
  • Apéry-type series with summation indices of mixed parities and colored multiple zeta values II,
  • Parametric Euler sums of harmonic numbers,
  • Parametric Euler T-sums of odd harmonic numbers ,
  • Apéry-type series with summation indices of mixed parities and colored multiple zeta values III.
• D. Xu, Proof of Kaneko-Tsumura conjecture on triple T-values .
• S. Yamamoto,
  • A sum formula of multiple L-values ,
  • Explicit evaluations of certain sums of multiple zeta-star values,
  • On some multiple zeta-star values of one-two-three indices,
  • Interpolation of multiple zeta and zeta-star values,
  • Multiple zeta-star values and multiple integrals,
  • Shuffle product of finite multiple polylogarithms,
  • A new integral-series identity of multiple zeta values and regularizations,
  • Multiple zeta values of Kaneko-Tsumura type and their values at positive integers,
  • A note on Kawashima functions.
  • Ohno-type identities for multiple harmonic sums,
  • A new proof of the duality of multiple zeta values and its generalizations,
  • Integrals associated with 2-posets and applications to multiple zeta values,
  • Multivariable Hoffman-Ihara operators and the operad of formal power series,
  • Truncated t-adic symmetric multiple zeta values and double shuffle relations ,
  • Duality of one-variable multiple polylogarithms and their q-analogues ,
  • A generalized regularization theorem and Kawashima's theorem for multiple zeta values.
• Y. Yamasaki,
  • A variation of multiple L-values arising from the spectral zeta function of the non-commutative harmonic oscillator ,
  • Evaluations of multiple Dirichlet L-values via symmetric functions ,
  • On Schur multiple zeta functions: a combinatoric generalization of multiple zeta functions,
  • On a generalization of multiple zeta functions from the viewpoint of symmetric functions,
  • Checkerboard style Schur multiple zeta values and odd single zeta values.
• G. Yamashita,
  • Bounds for the dimensions of p-adic multiple L-value spaces ,
  • p-Adic multiple zeta values, p-adic multiple L-values, and motivic Galois groups ,
  • A small remark on finite multiple zeta values and p-adic multiple zeta values .
• C. Yamazaki, On the duality for multiple star-zeta vales of height one.
• L. Yan, Parametric Euler T-sums of odd harmonic numbers .
• Y. Yan, Euler sums and integrals of polylogarithm functions.
• F-Y. Yang,
  • Some alternating double sum formulae of multiple zeta values,
  • Weighted sum formulas from shuffle products of multiples of Riemann zeta values,
  • Shuffle relations and the sum of multiple zeta values.
• J. Yang,
  • Modulo p ² congruences involving harmonic numbers ,
  • Modulo p ² congruences involving generalized harmonic numbers .
• P. Yang, Super congruences on harmonic sums.
• W. Yang, Double zeta values and Picard-Fuchs equation.
• Y. Yang, Explicit evaluation of quadratic Euler sums.
• R. Yassawi, Lucas congruences for the Apéry numbers modulo p ² .
• S. Yasuda, Finite real multiple zeta values generate the whole space Z .
• A. J. Yee, A new shuffle convolution for multiple zeta values.
• A. Yoshihara, On finite multiple zeta values of level two.
• M. Yoshimoto, Convolution of Riemann zeta-values.
• S. Yost,
  • All order ε-expansion of Gauss hypergeometric functions with integer or half-integer values of parameters,
  • Multiple (inverse) binomial sums of arbitrary weight and depth and the all-order ε-expansion of generalized hypergeometric functions with one half-integer value of parameter,
  • On the all-order ε-expansion of generalized hypergeometric functions with integer values of parameters.
• F. Yu, On Okounkov's conjecture connecting Hilbert series of points and multiple q-zeta values .
• H. Yu, Rota-Baxter algebras and left weak composition quasi-symmetric functions.
• J. Yu, An effective criterion for Eulerian multizeta values in positive characteristic .
• H. Yuan,
  • Restricted sum formula of multiple zeta values,
  • New families of weighted sum formulas for multiple zeta values,
  • Double shuffle relations of double zeta values and double Eisenstein series of level N ,
  • Multiple divisor functions and multiple zeta values at level N ,
  • Bachmann-Kühn's brackets and multiple zeta values at level N .

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  Z

  ---

• D. Zagier,
  • Periods of modular forms, traces of Hecke operators and multiple zeta values,
  • Values of zeta functions and their applications,
  • Periods,
  • Multiple zeta values of fixed weight, depth, and height,
  • Double zeta values and modular forms,
  • Derivation and double shuffle relations for multiple zeta values,
  • Evaluation of the multiple zeta values ζ(2,...,2,3,2,...,2).
  • Genus-zero and genus-one string amplitudes and special multiple zeta values.
• A. Zaharescu, On the singularities of multiple L-functions .
• M. Zaki, On the singularities of multiple L-functions .
• M. Zakrzewski,
  • Linear differential equations and multiple zeta values I. Zeta(2),
  • Linear differential equations and multiple zeta values II. A generalization of the WKB method,
  • Linear differential equations and multiple zeta values III. Zeta(3),
  • Asymptotic analysis and special values of generalized multiple zeta values,
  • Multiple zeta values and the WKB method.
• F. Zerbini,
  • Single-valued multiple zeta values for genus 1 superstring amplitudes,
  • From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop,
  • Genus-zero and genus-one string amplitudes and special multiple zeta values.
• W. Zhai, Analytic properties of double zeta-functions.
• B. Zhang,
  • Renormalization of multiple zeta values,
  • Differential Algebraic Birkhoff Decomposition and the renormalization of multiple zeta values,
  • Double shuffle relations and renormalization of multiple zeta values,
  • Polylogarithms and multiple zeta values from free Rota-Baxter algebras,
  • Conical zeta values and their double subdivision relations,
  • Algebraic Birkhoff factorization and the Euler-Maclaurin formula on cones,
  • Renormalized conical zeta values.
• H. Zhang, Mordell-Tornheim double Eisenstein series.
• J. Zhang, Explicit evaluation of quadratic Euler sums.
• M. Zhang,
  • Some evaluation of harmonic number sums,
  • Quadratic and cubic harmonic number sums,
  • Some evaluation of q-analogues of Euler sums .
• N-Y. Zhang, On Tornheim's double series.
• J. Zhao,
  • Analytic continuation of multiple zeta functions,
  • Multiple q-zeta functions and multiple q-polylogarithms ,
  • Bernoulli numbers, Wolstenholme's theorem, and p ⁵ variations of Lucas' theorem ,
  • Wolstenholme type theorem for multiple harmonic sums,
  • Analytic continuation of multiple polylogarithms,
  • Finiteness of p-divisible sets of multiple harmonic sums ,
  • Renormalization of multiple q-zeta values ,
  • An exotic shuffle relation for multiple zeta values,
  • Multiple polylogarithm values at roots of unity,
  • Standard relations of multiple polylogarithms at roots of unity,
  • Reducibility of signed cyclic sums of Mordell-Tornheim zeta and L-values ,
  • Alternating Euler sums and special values of Witten multiple zeta function attached to so(5),
  • Witten multiple zeta values attached to sl(4),
  • Multi-polylogs at twelfth roots of unity and special values of Witten multiple zeta function attached to the exceptional Lie algebra g ₂ ,
  • A note on colored Tornheim's double series,
  • On a conjecture of Borwein, Bradley and Broadhurst,
  • Witten volume formulas for semi-simple Lie algebras,
  • Congruences of alternating multiple harmonic sums,
  • Mod p structure of alternating and non-alternating multiple harmonic sums ,
  • Sum formula of multiple Hurwitz-zeta values ,
  • Restricted sum formula of alternating Euler sums,
  • Identity families of multiple harmonic sums and multiple zeta (star) values,
  • On q-analog of Wolstenholme type congruences for multiple harmonic sums ,
  • Restricted sum formula of multiple zeta values,
  • New families of weighted sum formulas for multiple zeta values,
  • A family of multiple harmonic sum and multiple zeta star value identities,
  • On q-analogs of some families of multiple harmonic sum and multiple zeta star value identities ,
  • Families of weighted sum formulas for multiple zeta values,
  • Double shuffle relations of double zeta values and double Eisenstein series of level N ,
  • Some congruences related to finite multiple zeta values,
  • Multiple divisor functions and multiple zeta values at level N ,
  • Uniform approach to double shuffle and duality relations of various q-analogs of multiple zeta values via Rota-Baxter algebras ,
  • Finite multiple zeta values and finite Euler sums,
  • Renormalization group for multiple zeta values,
  • Bachmann-Kühn's brackets and multiple zeta values at level N ,
  • Finite and symmetrized colored multiple zeta values,
  • Rota-Baxter algebras and left weak composition quasi-symmetric functions,
  • Multiple zeta values, multiple polylogarithms, and their special values ,
  • A family of super congruences involving multiple harmonic sums,
  • Supercongruences involving multiple harmonic sums and Bernoulli numbers,
  • Some families of super congruences involving alternating multiple harmonic sums,
  • Variants of multiple zeta values with even and odd summation indices,
  • Explicit relations between Kaneko-Yamamoto type multiple zeta values and related variants,
  • Explicit relations of some variants of convoluted multiple zeta values,
  • Proof of Kaneko-Tsumura conjecture on triple T-values .
  • Apéry-type series and colored multiple zeta values .
  • Apéry-type series with summation indices of mixed parities and colored multiple zeta values I,
  • Apéry-type series with summation indices of mixed parities and colored multiple zeta values II,
  • Apéry-type series with summation indices of mixed parities and colored multiple zeta values III.
• D-Y. Zheng, Further summation formulae related to generalized harmonic numbers.
• Xia Zhou,
  • Congruences for finite triple harmonic sums,
  • A generalization of a curious congruence on harmonic sums,
  • Signed q-analogs of Tornheim's double series ,
  • Reducibility of signed cyclic sums of Mordell-Tornheim zeta and L-values ,
  • Witten multiple zeta values attached to sl(4),
  • Depth reduction of a class of Witten zeta functions,
  • On Mordell-Tornheim sums and multiple zeta values,
  • A q-analog of Euler's reduction formula for the double zeta function .
• Xiaolian Zhou, Explicit evaluations of sums of sequence tails.
• W. Zhu,
  • Some evaluation of harmonic number sums,
  • Some evaluation of q-analogues of Euler sums .
• S. A. Zlobin,
  • A certain integral over a triangle,
  • A note on arithmetic properties of multiple zeta values,
  • Integrals over polytopes, multiple zeta values and polylogarithms, and Euler's constant,
  • Generating functions for the values of a multiple zeta function,
  • Special values of generalized polylogarithms,
  • Relations for multiple zeta values.
• H. Żołądek,
  • Note on multiple zeta-values,
  • Linear differential equations and multiple zeta values I. Zeta(2),
  • Linear differential equations and multiple zeta values II. A generalization of the WKB method,
  • Linear differential equations and multiple zeta values III. Zeta(3),
  • Multiple zeta values and the WKB method.
• I. J. Zucker, The evaluation of character Euler double sums.
• W. Zudilin,
  • Algebraic relations for multiple zeta values,
  • One parameter models of Hopf algebras associated with multiple zeta values,
  • Zeta stars,
  • Cyclic q-MZSV sum ,
  • Multiple q-zeta brackets ,
  • On a family of polynomials related to ζ(2,1)=ζ(3).

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