AUTHOR INDEX
The author's name is linked to his or her profile on
MathSciNet,
if one exists.
[A] [B] [C]
[D] [E] [F]
[G] [H] [I]
[J] [K] [L]
[M] [N] [O]
[PQ] [R] [S]
[T] [U] [V]
[W] [XY] [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.

P. Akhilesh, Double tails of multiple zeta
values.

S. Akiyama,
 S. Albino, Analytic continuation of harmonic
sums.

J. Alm,

G.W. Anderson, Multizeta values for
F_{q}[t], their period interpretation, and
relations between them.

C. Anzai, Algorithms to evaluate multisums
for loop computations.

T. Aoki,

T. M. Apostol,

T. Arakawa,

F. V. Atkinson, The meanvalue of the
Riemann zeta function.
B

H. Bachmann,

D. H. Bailey,

V. Baldoni,
Multiple Bernoulli series and
volumes of moduli spaces of flat bundles over surfaces.

G. Bastien,
Elementary methods for evaluating Jordan's
sums and analogous Euler's type sums and for setting a sigma sum theorem.

A. Basu,

S. Baumard, Period polynomial relation
between double zeta values.

A. Besser, The double shuffle relations
for padic 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
twoloop order,
 Analytic continuation
of Mellin transforms up to twoloop order,
 Algebraic relations
between harmonic sums and associated quantities,
 Analytic
continuation of the harmonic sums for the 3loop 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,

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 kfold
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,
 Thirtytwo Goldbach variations,
 Hilbert's inequality and Witten's
zetafunction,
 The evaluation of character Euler double
sums,
 Duality in tails of multiple zeta values,
 Relations for Nielsen polylogarithms,
 Computation and theory of extended
MordellTornheimWitten sums,
 On Eulerian loggamma integrals and
TornheimWitten zeta functions,
 Computation and theory of
MordellTornheimWitten sums II,
 Computation and structure of character
polylogarithms with applications to character MordellTornheimWitten sums.

O. Bouillot,

L. Boutet de Monvel,
Remark on divergent multizeta series.

D. Bowman,

K. N. Boyadzhiev,

A. Boysal,
Multiple Bernoulli series and
volumes of moduli spaces of flat bundles over surfaces.

D. M. Bradley,
 Evaluation of kfold 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 multiset inclusions associated with
shuffle convolutions and multiple zeta values.
 Resolution of some open problems concerning
multiple zeta evaluations of arbitrary depth,
 Multiple qzeta values,
 Partition identities for the multiple zeta
function,
 A qanalog of Euler's decomposition
formula for the double zeta function,
 Duality for finite multiple harmonic
qseries,
 Parametric Euler sum identities,
 Thirtytwo Goldbach variations,
 On the sum formula for multiple qzeta
values,
 Signed qanalogs 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 MordellTornheim sums and multiple
zeta values,
 A qanalog of Euler's reduction
formula for the double zeta function.

D. J. Broadhurst,
 Association of
multiple zeta values with positive knots via Feynman diagrams up to 9
loops,
 Evaluation of kfold
Euler/Zagier sums: a compendium of results for arbitrary k,
 Massive 3loop 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 kfold
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,

F. C. S. Brown,
 Périodes des
espaces des modules M_{0,n} et valeuers zêtas multiples,
 The massless higherloop twopoint
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 cellzeta values,
 On the decomposition of motivic multiple zeta
values,
 Mixed Tate motives over Z,
 Depthgraded motivic multiple zeta values,
 Singlevalued polylogarithms and a proof
of the zigzag conjecture,
 Motivic periods and P^{1}
\{0,1,∞},
 Singlevalued 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.

J. P. Buhler,
On the evaluation of Euler sums.

V. C. Bui,
C

T. Cai,
 Congruences for finite triple harmonic
sums,
 A generalization of a curious congruence
on harmonic sums,
 Signed qanalogs 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^{α}q^{β},
 A congruence involving alternating
harmonic sums modulo p^{α}q^{β},
 Super congruences involving alternating
harmonic sums mod prime powers.
 Some weighted sum identities for double
zeta values.
 Y. Cai, On harmonic numbers and nonlinear
Euler sums.

B. Candelpergher,

S. Carr,

P. Cartier,

J. Castillo Medina,

OY. Chan, Duality in tails of multiple
zeta values.

ChiehYu Chang,

ChungYie Chang,

S. Charlton, ζ({{2}^{m},
1,{2}^{m},3}^{n},{2}^{m})/π^{4n+2m(2n+1)}
is rational.

T. Chatterjee,
The strong ChowlaMilnor spaces and a
conjecture of Gun, Murty and Rath.

A. Chatzistamatiou, On the integrality of
padic iterated integrals.

HJ. Chen,

KW. Chen,

YH. Chen, Multiple zeta values and
application to the Lacunary recurrence formulas of Bernoulli numbers.

Y. J. Cho, Euler sums evaluatable from
integrals.

J. Choi,

Y. Choie,

Wenchang Chu,

CL. Chung,

M. W. Coffey,
 G. Combariza,
A few conjectures about the multiple zeta
values.

MA. Coppo,

C. Costermans,

R. E. Crandall,

J. Cresson,
D

A. I. Davydychev,

M. de Crisenoy,

P. Deligne, Multizêtas, d'aprés
Francis Brown.

E. D'Hoker, Modular graph functions.

A. Dil,

K. Dilcher,
On qanalogues of double Euler sums.

L. Ding,
Evaluation of a class of double Lvalues
of Tornheim's type.

S. Ding,
 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,

C. Duhr,

S. V. Duzhin,
Conway polynomial and Magnus expansion.
E

K. EbrahimiFard,

J. Écalle,

S. Egami,

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,
 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 are multiples of a positive integer.

JY. Enjalbert,

B. Enriquez,

M. Espie, Formal computations about multiple
zeta values.

O. Espinosa,

D. Essouabri,

L. Euler,
Meditationes circa singulare serierum genus.
F
 M. Felder, On the irrationality of certain
coefficients of the AlekseevTorossian associator.

L. Feng,
A combinatorial identity of multiple zeta
values with even arguments.

S. Fischler,

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.

X. Fu, Congruences for finite triple harmonic
sums.

H. Furusho,
 The multiple zeta value algebra
and the stable derivation algebra,
 pAdic multiple zeta values I.
pAdic multiple polylogarithms and the padic KZ equation,
 The double shuffle relations for
padic multiple zeta values,
 Multiple zeta values and
GrothendickTeichmüller groups,
 pAdic multiple zeta values II.
Tannakian interpretations,
 Regularization and generalized double
shuffle relations for padic multiple zeta values,
 Double shuffle relation for associators,
 Mixed pentagon, octagon, and Broadhurst
duality equations,
 Geometric interpretation of double
shuffle relation for multiple Lvalues,
 Desingularization of multiple
zetafunctions of generalized HurwitzLerch type and evaluation of
padic multiple Lfunctions at arbitrary integers,
 On relations among multiple zeta values
obtained in knot theory,
 Desingularization of complex multiple
zetafunctions,
 Fundamentals of padic multiple
Lfunctions and evaluation of their special values,
 A stabilizer interpretation of double
shuffle Lie algebras.

J. Furuya,
 P. H. Fuss (ed.), Correspondance
Mathématique et Physique de quelques célèbres
Géomètres.
G

H. Gangl,

F. Gavarini, A formula for the logarithm
of the KZ associator.

M. Genčev,

R. Girgensohn,

C. Glanois,

A. B. Goncharov,

H. Gopalkrishna Gadiyar,

A. Granville, A decomposition of Riemann's
zetafunction.

W. S. Gray,
Evaluating generating functions for
periodic multiple polylogarithms via rational ChenFliess series.

M. B. Green, Modular graph functions.

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.

L. Guo,
 Multiple zeta values and RotaBaxter
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 RotaBaxter 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 EulerMaclaurin formula on cones,
 Families of weighted sum formulas for
multiple zeta values,
 Applications of shuffle product to
restricted decomposition formulas for multiple zeta values,
 RotaBaxter algebras and left weak
composition quasisymmetric functions,
 Renormalized conical zeta values.

Ö. Gürdoğan, Modular graph
functions.
H

J. Halverson,
Perturbative corrections to Kähler moduli
spaces.
 R. Harada,

J. M. Henn,
Evaluating multiple polylogarithm values at
sixth roots of unity up to weight six.

Kh. Hessami Pilehrood,

T. Hessami Pilehrood,

V. Hoang Ngoc Minh,
 Computation of the monodromy of generalized
polylogarithms,
 Shuffle algebra and generalized polylograthms,
 Aspects combinatoires des polylogarithms et
des sommes d'EulerZagier,
 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
qdeformed quasishuffle algebras and representations of the structure
of MZVs,
 Harmonic sums and polylogarithms at
negative multiindices,
 Structure of polyzetas and explicit
representation on transcendence bases of shuffle and stuffle algebras,
 Harmonic sums and polylogarithms at
nonpositive multiindices.

M. E. Hoffman,
 Multiple harmonic series,
 Sums of triple harmonic series,
 The algebra of multiple harmonic series,
 Quasishuffle 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,
 Quasisymmetric functions, multiple zeta
values, and rooted trees,
 A character on the quasisymmetric functions
coming from multiple zeta values,
 Quasisymmetric functions and mod p
multiple harmonic sums,
 Sums of products of Riemann zeta tails,
 Harmonicnumber summation identities,
symmetric functions, and multiple zeta values,
 On multiple zeta values of even arguments,
 Quasishuffle products revisited,
 An odd variant of multiple zeta values.

I. Horozov,

J. G. Huard, On Tornheim's double series.
I

M. Igarashi,

K. Ihara,

S. Ikeda,

K. Imatomi,

H. Ishikawa,
 T. Ito, On analogues of the ArakawaKaneko
zeta functions of MordellTornheim type.
J

G. Jacob,

A. Jafari, Regularization and
generalized double shuffle relations for padic multiple zeta 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},
∞})  II1: 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},
∞})  I2: Indirect solution of the equation of horizontality of
Frobenius,
 An explicit theory of
π_{1}^{un,crys}(P^{1}{0,μ_{N},
∞})  I1: Direct solution of the equation of horizontality of
Frobenius,
 An explicit theory of
π_{1}^{un,crys}(P^{1}{0,μ_{N},
∞})  II2: 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},
∞})  II3: 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},
∞})  I3: The number of iterations of Frobenius viewed as a
variable.

CG. Ji,
A simple proof of a curious congruence by Zhao.
 L. Jia,
A congruence involving harmonic sums modulo
p^{α}q^{β}.

L. Jiu,
A symbolic approach to multiple zeta values
at the negative integers.

H. Jockers,
Perturbative corrections to Kähler moduli
spaces.

P. F. Jordan, Infinite sums of psi functions.

K. Joshi, The tmotivic mixed
Carlitz zeta category and CarltizThakur multizeta values.

S. T. Joyner,

M. Jung, Euler sums evaluatable from
integrals.
K
 S. Kadota, Certain weighted sum formulas
for multiple zeta values with some parameters.

J. Kajikawa,

M. Yu. Kalmykov,

K. Kamano,

J. Kamnitzer, Central binomial sums,
multiple Clausen values, and zeta values.

M. Kaneaki, Power moments for the double
zetafunction.

M. Kaneko,
 Multiple zeta values, polyBernoulli numbers,
and related zeta functions,
 On multiple Lvalues,
 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 polyBernoulli numbers
and multiple zeta values,
 On a conjecture for the dimension
of the space of the multiple zeta values,
 PolyBernoulli numbers and related zeta
functions,
 On a kind of duality of multiple zetastar
values,
 Double zeta values, double Eisenstein
series, and modular forms of level 2,
 MultipolyBernoulli numbers and finite
multiple zeta values,
 MultipolyBernoulli numbers and related
zeta functions,
 On multiple zeta values of extremal height,
 A new integralseries identity of
multiple zeta values and regularizations.

S. Kanemitsu,
Convolution of Riemann zetavalues.

G. Kawashima,

J. P. Kelliher, Analytic continuation of
multiple Hurwitz zeta functions.

MS. Kim, On the special values of Tornheim's
multiple series.

K. Kimoto, A variation of multiple
Lvalues arising from the spectral zeta function of the noncommutative
harmonic oscillator.
 S. Kitani, Finite automata and relations
of multiple zeta values.

I. Kiuchi,

B. A. Kniehl,

T. Komatsu, Incomplete multipolyBernoulli
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.

Y. Komori,
 Zeta functions of root systems,
 An integral representation of the
MordellTornheim double zeta function and its values at nonpositive
integers,
 Zeta and Lfunctions and Bernoulli
polynomials of root systems,
 On Witten multiple zetafunctions associated
with semisimple Lie algebras II,
 On Witten multiple zetafunctions associated
with semisimple Lie algebras III,
 On Witten multiple zetafunctions associated
with semisimple Lie algebras IV,
 Shuffle products for multiple zeta
values and partial fraction decompositions of zetafunctions of root
systems,
 Functional relations for zetafunctions of
root systems,
 An introduction to the theory of
zetafunctions of root systems,
 Multiple Bernoulli polynomials and multiple
zetafunctions of root systems,
 On multiple Bernoulli polynomials and
multiple Lfunctions of root systems,
 Multiple zeta values and zetafunctions
of root systems,
 A survey on the theory of multiple
Bernoulli polynomials and multiple Lfunctions of root systems,
 Zetafunctions of weight lattices of
compact connected semisimple Lie groups,
 Functional equations and functional
relations for the Euler double zetafunction and its generalization of
Eisenstein type,
 Functional equations for double
Lfunctions and values at nonpositive integers,
 Functional relations for zetavalues
of weight lattices of type A_{3},
 A study on multiple zeta values from
the viewpoint of zetafunctions of root systems,
 On Witten multiple zetafunctions associated
with semisimple Lie algebras V,
 Desingularization of multiple
zetafunctions of generalized HurwitzLerch type and evaluation of
padic multiple Lfunctions at arbitrary integers,
 Lattice sums of hyperplane arrangements,
 Desingularization of complex multiple
zetafunctions,
 Fundamentals of padic multiple
Lfunctions and evaluation of their special values.

H. Kondo, The BowmanBradley theorem for
multiple zetastar values.

M. Kontsevich, Periods.

D. Kreimer, Association of multiple
zeta values with positive knots via Feynman diagrams up to 9 loops.

YL. Kuan, Criterion for deciding zetalike
multizeta values in positive characteristic.

M. Kuba,

U. Kühn,
 J. Kuipers,
About a conjectured basis for multiple
zeta values.

N. Kurokawa, Higher Mahler measure and
zeta functions.

S. Kurth, Harmonic sums and Mellin
transforms up to twoloop order.
L

M. N. Lalín,

J. M. Lapan,
Perturbative corrections to Kähler moduli
spaces.

J. A. Lara Rodríguez,

Q. T. Lê,
Euler reflexion formulas for motivic multiple
zeta functions.

T. Q. T. Lê,

TY. Lee,

P. Lei,

S. Leurent,
Multiple zeta functions and double wrapping
in planar N = 4 SYM.

Zh. Li,
 Sum of multiple zeta values
of fixed weight, depth and iheight,
 Sum of multiple qzeta values,
 Gamma series associated to elements
satisfying regularized double shuffle relations,
 Higher order shuffle regularization
for multiple zeta values,
 On functional relations for the
alternating analogues of Tornheim's double zeta function,
 On harmonic sums and alternating
Euler sums,
 On a conjecture of Kaneko and Ohno,
 Regularized double shuffle and
OhnoZagier relations of multiple zeta values,
 Some identities in the harmonic algebra
concerned with multiple zeta values,
 Another proof of Zagier's evaluation
formula of the multiple zeta values ζ(2,...,2,3,2,...,2),
 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,
 Tornheim type series and nonlinear Euler
sums,
 Weighted sum formulas of multiple zeta
values of even arguments.

WC. Liaw,

YH. Lin, Criterion for deciding zetalike
multizeta values in positive characteristic.

E. Linebarger, A family of multiple
harmonic sum and multiple zeta star value identities.

P. Lisoněk,

W. Liu,

P. Lochak,
Homology of depthgraded motivic Lie
algebras and koszulity.

R. Lu, The Γ^genus and a regularization
of an S^{1}equivariant Euler class.

L. Lüders,
Multiple polylogarithms and linearly reducible
Feynman graphs.
M

B. Ma,
Applications of shuffle product to
restricted decomposition formulas for multiple zeta values.

D. Ma,

T. Machide,

C. R. Mafra,
Elliptic multiple zeta values and oneloop
superstring amplitudes.

C. Malvenuto,
Symmetril moulds, generic group schemes,
resummation of MZVs.

D. Manchon,

Yu. I. Manin,

T. Mansour, Identities for sums of a
qanalogue of polylogarithm functions.

M. Marcolli,
Arithmetic of Potts model hypersurfaces.

C. Markett, Triple sums and the Riemann
zeta function.

R. Masri,

O. Mathieu, On a symmetric space attached
to polyzeta values.

K. Matsumoto,
 Asymptotic expansions of multiple
zeta functions and mean values of Hurwitz zeta functions,
 On the analytic continuation of various
multiplezeta functions,
 On MordellTornheim and other multiple
zetafunctions,
 The analytic continuation and the
asymptotic behavior of certain multiple zetafunctions I,
 The analytic continuation and the
asymptotic behavior of certain multiple zetafunctions II,
 On the estimation of the order of
EulerZagier multiple zetafunctions,
 Functional equations for double zetavalues,
 The analytic continuation
and the asymptotic behavior of certain multiple zetafunctions III,
 Generalized multiple Dirichlet
series and generalized multiple polylogarithms,
 Analytic properties of multiple
zetafunctions in several variables,
 On Witten multiple zetafunctions
associated with semisimple Lie algebras I,
 Zeta functions of root systems,
 Functional relations and
special values of MordellTornheim triple and Lfunctions,
 A new method of producing
functional relations among multiple zetafunctions,
 On valuerelations, functional relations
and singularities of MordellTornheim and related triple zetafunctions,
 Functional relations among
certain double polylogarithms and their character analogues,
 Zeta and Lfunctions and
Bernoulli polynomials of root systems,
 On Witten multiple zetafunctions
associated with semisimple Lie algebras II,
 On Witten multiple zetafunctions
associated with semisimple Lie algebras III,
 On Witten multiple zetafunctions
associated with semisimple Lie algebras IV,
 Shuffle products for multiple zeta
values and partial fraction decompositions of zetafunctions of root
systems,
 Functional relations for zetafunctions
of root systems,
 An introduction to the theory of
zetafunctions of root systems,
 The analytic theory of multiple zetafunctions
and its applications,
 Multiple Bernoulli polynomials and multiple
zetafunctions of root systems,
 On multiple Bernoulli polynomials and
multiple Lfunctions of root systems,
 Multiple zetafunctions associated
with linear recurrence sequences and the vectorial sum formula,
 Multiple zeta values and zetafunctions
of root systems,
 A survey on the theory of multiple
Bernoulli polynomials and multiple Lfunctions of root systems,
 Zetafunctions of weight lattices of
compact connected semisimple Lie groups,
 Functional equations and functional
relations for the Euler double zetafunction and its generalization of
Eisenstein type,
 Functional equations for double
Lfunctions and values at nonpositive integers,
 Functional relations for zetavalues
of weight lattices of type A_{3},
 Mean value theorems for double
zetafunctions,
 A study on multiple zeta values from
the viewpoint of zetafunctions of root systems,
 On Witten multiple zetafunctions associated
with semisimple Lie algebras V,
 Functional equations for double
series of Euler type with coefficients,
 Functional equations for double
series of EulerHurwitzBarnes type with coefficients,
 Numerical computations on the zeroes
of the Euler double zetafunction I,
 Desingularization of multiple
zetafunctions of generalized HurwitzLerch type and evaluation of
padic multiple Lfunctions at arbitrary integers,
 Lattice sums of hyperplane arrangements,
 Desingularization of complex multiple
zetafunctions,
 Fundamentals of padic multiple
Lfunctions and evaluation of their special values,
 Laurent series expansions of multiple
zetafunctions of EulerZagier type at integer points,
 Numerical computations on the zeroes
of the Euler double zetafunction II.

K. Matsuoka,

N. Matthes,

M. McCoy, A family of super congruences
involving multiple harmonic sums.

J. Mehta,
Analytic properties of multiple zeta functions
and certain weighted variants, an elementary approach.

Y. Mei,
Evaluation of a class of double Lvalues
of Tornheim's type.

J. Merker,
Multizeta calculus I.

I. Mező,

M. Minamide,

Y. Mishiba,

S. Moch,

C. Moen, Sums of triple harmonic series.

V. H. Moll,

D. R. Morrison,
Perturbative corrections to Kähler moduli
spaces.

U. Müller, A quantum field theoretical
representation of EulerZagier sums.

S. Muneta,

H. Murahara,

J. Murakami,

M. Ram Murty,
N

Y. Nagata, On certain mean values of
the double zeta function.

T. Nakamura,
 Bernoulli numbers and multiple
zeta values,
 A functional relation
for the Tornheim zeta function,
 Functional relations and
special values of MordellTornheim triple zeta and Lfunctions,
 On valuerelations,
functional relations and singularities of MordellTornheim and related
triple zetafunctions,
 Zeroes and the universality
for the EulerZagierHurwitz type of multiple zetafunctions,
 Double Lerch value relations and
functional relations for Witten zeta functions,
 Double Lerch series and their
functional relations,
 Restricted and weighted sum
formulas for double zeta values of even weight,
 A simple proof of the functional
relation for the Lerch type Tornheim double zeta function,
 Applications of hybrid universality
to multivariable zetafunctions,
 On complex zeroes off the critical
line for nonmonomial polynomial of zeta functions,
 Remarks on double zeta values of
level 2,
 Real zeroes of HurwitzLerch zeta
and HurwitzLerch type of EulerZagier double zeta functions,
 HurwitzLerch zeta and HurwitzLerch
type of EulerZagier double zeta distributions.
 Ngo Quoc Hoan,

N. Nielsen, Die Gammafunktion.

JC. Novelli,

M. Noro, On a conjecture for the dimension
of the space of the multiple zeta values.
O

H. Ochiai,

Y. Ohno,
 A generalization of the duality
and sum formulas on the multiple zeta values,
 Multiple zeta values of fixed
weight, depth, and height,
 Relations of multiple zeta values
and their algebraic expression,
 Sum relations for multiple zeta values,
 Sum relations for multiple zeta
values and connection formulas for the Gauss hypergeometric functions,
 Cyclic sum of multiple zeta values,
 On the sum formula for the qanalogue
of nonstrict multiple zeta values,
 A generating function for sums of
multiple zeta values and its applications,
 Zeta stars,
 Cyclic qMZSV sum,
 On generating functions of multiple
zeta values and generalized hypergeometric functions,
 Multiple zeta values vs. multiple
zeta star values,
 On a kind of duality of multiple zetastar
values.

S. Oi,

T. Okamoto,

A. Okounkov,
Hilbert schemes and multiple qzeta
values.

J. Okuda,

Y. L. Ong,
 Explicit evaluation of
triple Euler sums,
 A restricted sum formula among
multiple zeta values,
 Explicit evaluations of quadruple Euler
sums,
 Some alternating double sum formulae of
multiple zeta values,
 On generalizations of weighted sum formulas
of multiple zeta values,
 On vector generalizations of Vandermonde's
convolution,
 Applications of shuffle products of multiple
zeta values in combinatorics,
 Decomposition of products of Riemann 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,
 On vectorized weighted sum formulas of
multiple zeta values,
 Decomposition theorems produced from
differential operators.

K. Ono,
Explorations in the theory of partition zeta
functions.
 M. Ono,

K. Onodera,

T. Onozuka,

N. E. Oussous,
 K. Oyama, Ohno's relation for finite
multiple zeta values.
PQ

R. Padma,

A. Panholzer, Computerfree evaluation of
an infinite double sum via Euler sums.

Ł. Pańkowski,

E. Panzer, The parity theorem for multiple
polylogarithms.

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,

F. Pellarin,

R. Pemantle, When is 0.999... equal to 1?.

A. Petojević, Computation of the
MordellTornheim zeta values.

M. Petitot,

H. Prodinger,

G. Puhlfürst,
Differential equations, associators, and
recurrences for amplitudes.

C. Qin,

Z. Qin,
On Okounkov's conjecture connecting Hilbert
series of points and multiple qzeta values.
R

C. G. Raab,
Iterated binomial sums and their associated
iterated integrals.

G. Racinet,

E. Ragoucy, Superstring amplitudes and the
associator.

M. Rahmani, On pBernoulli 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.

L. Rolen,
Explorations in the theory of partition zeta
functions.

D. Romik, On the number of
ndimensional representations of SU(3), the Bernoulli numbers,
and the Witten zeta function.

T. Rivoal,

J. R. Rhodes, From polygons and symbols to
polylogarithmic functions.

J. Rosen,

J. H. Ryoo,
Some multiset inclusions associated with shuffle convolutions and multiple
zeta values.
S

B. Sadaoui, Multiple zeta values at the
nonpositive integers.

B. Saha,
Analytic properties of multiple zeta functions
and certain weighted variants, an elementary approach.

S. Saito,

M. Sakata,

K. Sakugawa, On functional equations of
finite multiple polylogarithms.

A. Salerno,

B. Salvy, Euler sums and contour integral
representations.

C. E. Sandifer, Multzeta functions.

Y. Sasaki,
 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
qdeformed multiple polylogarithms.

O. Schlotterer,

C. Schneider,

R. P. Schneider,

L. Schneps,

O. Schnetz,
Singlevalued polylogarithms and a proof
of the zigzag conjecture.

C. Schubert, A quantum field theoretical
representation of EulerZagier sums.

SI. Seki,

C. Sekine, Partial sums of multiple zeta
value series.

K. Senthil Kumar, Order structure and
topological properties of the set of multiple zeta values.

LC. Shen, Remarks on some integrals
and series involving the Stirling numbers and ζ(n).

Z. Shen,

Z. Shi,
Euler sums and integrals of polylogarithm
functions.

M. Shōji,
 X. Si, Quadratic and cubic harmonic number
sums.

J. Singer,

K. Sinha, Multiple Hurwitz zeta functions.

R. Sitaramachandrarao,

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.

JW. 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,

H. M. Srivastava,

S. Stieberger,

A. Straub,
Relations for Nielsen polylogarithms.

J. Su,
Arithmetic of Potts model hypersurfaces.

M. V. Subbarao,

Y. Sumino, Algorithms to evaluate multisums
for loop computations.
T

T. Takamuki,

E. Takeda,
MultipolyBernoulli numbers and finite
multiple zeta values.

Y. Takeyama,

T. Tanaka,

Y. Tanigawa,

K. Tasaka,

R. Tauraso,

T. Terasoma,

D. Terhune,

D. 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,
 Zetalike 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.

JY. Thibon, Binary shuffle bases for
quasisymmetric functions.

K. Thielen, A family of super congruences
involving multiple harmonic sums.

Q. Tian,
Evaluation of a class of double Lvalues
of Tornheim's type.

I. Todorov,
 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
Lvalues,
 Combinatorial relations for EulerZagier
sums,
 Multiple harmonic series related to
multiple Euler numbers,
 On MordellTornheim zeta values,
 Certain functional relations for the double
harmonic series related to the double Euler numbers,
 On some functional relations between
MordellTornheim double Lfunctions and Dirichlet Lfunctions,
 Generalized multiple Dirichlet series and
generalized multiple polylogarithms,
 On Witten multiple zetafunctions associated
with semisimple Lie algebras I,
 Zeta functions of root systems,
 On certain polylogarithmic double series,
 On the parity conjecture for multiple
Lvalues of conductor four,
 On functional relations between the
MordellTornheim double zeta functions and the Riemann zeta function,
 Functional relations and
special values of MordellTornheim triple and Lfunctions,
 A new method of producing
functional relations among multiple zetafunctions,
 On valuerelations, functional relations
and singularities of MordellTornheim and related triple zetafunctions,
 Functional relations among certain double
polylogarithms and their character analogues,
 Zeta and Lfunctions and Bernoulli
polynomials of root systems,
 On alternating analogues of Tornheim's double
series II,
 On Witten multiple zetafunctions associated
with semisimple Lie algebras II,
 On Witten multiple zetafunctions associated
with semisimple Lie algebras III,
 On Witten multiple zetafunctions associated
with semisimple Lie algebras IV,
 Shuffle products for multiple zeta
values and partial fraction decompositions of zetafunctions of root
systems,
 Functional relations for zetafunctions of
root systems,
 An introduction to the theory of
zetafunctions of root systems,
 Multiple Bernoulli polynomials and multiple
zetafunctions of root systems,
 On multiple Bernoulli polynomials and
multiple Lfunctions of root systems,
 Multiple zetafunctions associated
with linear recurrence sequences and the vectorial sum formula,
 Multiple zeta values and zetafunctions
of root systems,
 A survey on the theory of multiple
Bernoulli polynomials and multiple Lfunctions of root systems,
 Zetafunctions of weight lattices of
compact connected semisimple Lie groups,
 Functional equations and functional
relations for the Euler double zetafunction and its generalization of
Eisenstein type,
 Functional equations for double
Lfunctions and values at nonpositive integers,
 Functional relations for zetavalues
of weight lattices of type A_{3},
 Mean value theorems for double
zetafunctions,
 A study on multiple zeta values from
the viewpoint of zetafunctions of root systems,
 On Witten multiple zetafunctions associated
with semisimple Lie algebras V,
 Desingularization of multiple
zetafunctions of generalized HurwitzLerch type and evaluation of
padic multiple Lfunctions at arbitrary integers,
 Lattice sums of hyperplane arrangements,
 MultipolyBernoulli numbers and related
zeta functions,
 Desingularization of complex multiple
zetafunctions,
 Fundamentals of padic multiple
Lfunctions and evaluation of their special values,
 On multiple series of Eisenstein type.

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,

E. A. Ulanskii,

S. Ünver,

P. Uwer, Nested sums, expansion of
transcendental functions and multiscale multiloop integrals.
V

J. Van Der Hoeven,

P. Vanhove, Modular graph functions.

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,
 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 the negative integers.

RO. 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.

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.
W

I. Wakabayashi,
Laurent series expansions of multiple
zetafunctions of EulerZagier 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 zetastar
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
Lvalues,
 On Hoffman's relation for multiple zetastar
values,
 On generating functions for certain sums
of multiple zeta values and a formula of S. Zlobin,
 BowmanBradely type theorem for
finite multiple zeta values,
 Sum formula for finite multiple zeta
values,
 Kawashima's relations for interpolated
multiple zeta values,
 Interpolation of qanalogue of
multiple zeta and zetastar values,

M. Waldschmidt,

J. Wan, Some notes on weighted sum formulae
for double zeta values.

L. Wang,

Q. Wang, Moduli spaces and multiple
polylogarithm motives.

B. F. L. Ward,

CS. Wei,

S. Weinzierl,
 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(2n).

K. S. Williams, On Tornheim's double
series.
XY

B. Xia,
Bernoulli numbers and congruences of harmonic
sums.

B. Xie,

C. Xu,
 Euler sums and integrals of polylogarithm
functions,
 Explicit evaluation of quadratic Euler
sums,
 On harmonic numbers and nonlinear Euler
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 qanalogues
of Euler sums,
 Computation and theory of Euler sums of
generalized hyperharmonic numbers.

S. Yamamoto,

Y. Yamasaki,

G. Yamashita,

C. Yamazaki, On the duality for multiple
starzeta vales of height one.

Y. Yan,
Euler sums and integrals of polylogarithm
functions.

FY. Yang,

Y. Yang,
Explicit evaluation of quadratic Euler sums.

S. Yasuda, Finite real multiple zeta
values generate the whole space Z.

A. J. Yee, A new shuffle convolution for
multiple zeta values.

M. Yoshimoto, Convolution of Riemann
zetavalues.

S. Yost,

F. Yu,
On Okounkov's conjecture connecting Hilbert
series of points and multiple qzeta values.

H. Yu,
RotaBaxter algebras and left weak
composition quasisymmetric functions.

J. Yu,
An effective criterion for Eulerian
multizeta values in positive characteristic.

H. Yuan,
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).

A. Zaharescu, On the singularities of
multiple Lfunctions.

M. Zaki, On the singularities of multiple
Lfunctions.

M. Zakrzewski,

W. Zhai,
Analytic properties of double zetafunctions.

B. Zhang,
 J. Zhang, Explicit evaluation of quadratic
Euler sums.
 M. Zhang,

NY. Zhang, On Tornheim's double series.

J. Zhao,
 Analytic continuation of multiple
zeta functions,
 Multiple qzeta functions and
multiple qpolylogarithms,
 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 pdivisible sets of
multiple harmonic sums,
 Renormalization of multiple qzeta
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
MordellTornheim zeta and Lvalues,
 Alternating Euler sums and special
values of Witten multiple zeta function attached to so(5),
 Witten multiple zeta values attached to
sl(4),
 Multipolylogs 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 semisimple Lie
algebras,
 Congruences of alternating multiple harmonic
sums,
 Mod p structure of alternating
and nonalternating multiple harmonic sums,
 Sum formula of multiple Hurwitzzeta values
,
 Restricted sum formula of alternating Euler
sums,
 Identity families of multiple harmonic
sums and multiple zeta (star) values,
 On qanalog 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 qanalogs 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,
 Congruences involving multiple harmonic
sums and finite multiple zeta values,
 Multiple divisor functions and multiple
zeta values at level N,
 Uniform approach to double shuffle
and duality relations of various qanalogs of multiple zeta values
via RotaBaxter algebras,
 Finite multiple zeta values and finite
Euler sums,
 Renormalization group for multiple zeta
values,
 BachmannKühn's brackets and multiple
zeta values at level N,
 Finite and symmetrized colored multiple
zeta values,
 RotaBaxter algebras and left weak
composition quasisymmetric functions,
 Multiple zeta values, multiple
polylogarithms, and their special values,
 A family of super congruences involving
multiple harmonic sums.

DY. Zheng, Further summation formulae
related to generalized harmonic numbers.

X. Zhou,
 W. Zhu, Some evaluation of qanalogues
of Euler sums.

S. A. Zlobin,

H. Żołądek,

I. J. Zucker, The evaluation of character
Euler double sums.

W. Zudilin,




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