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.
 X. Ai, Generalized multiple zeta values
over number fields I.

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,
 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 qanalogue of multiple zeta values,
 The double shuffle relations for multiple
Eisenstein series,
 The algebra of bibrackets and regularized
multiple Eisenstein series,
 Double shuffle relations for
qanalogues of multiple zeta values, their derivatives and the
connection to multiple Eisenstein series,
 On multiple series of Eisenstein type,
 Multiple Eisenstein series and
qanalogues of multiple zeta values,
 Interpolated Schur multiple zeta values,
 Cyclotomic analogues of finite multiple
zeta values,
 A dimension conjecture for qanalogues
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
qseries at roots of unity,
 Modular forms and qanalogues of
modified double zeta values.

D. H. Bailey,

V. Baldoni,
Multiple Bernoulli series and
volumes of moduli spaces of flat bundles over surfaces.
 P. Banks,
Multiple zeta values in deformation
quantization.

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 relations
between double zeta values.

C. Berg,
Symmetric moment problems and a conjecture of
Valent.

A. Berglund,
Hirzebruch Lpolynomials and multiple zeta
values.

J. Bergström,
Hirzebruch Lpolynomials and multiple 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,
 Special values of generalized logsine
integrals,
 Logsine evaluations of Mahler measures,
 Logsine evaluations of Mahler measures II,
 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,
 Computation and experimental evaluation
of MordellTornheimWitten sum derivatives,
 Derivatives and fast evaluation of the
Tornheim zeta function.

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,
 A class of nonholomorphic modular forms I,
 A class of nonholomorphic modular forms II:
equivariant iterated Eisenstein integrals,
 Anatomy of an associator.

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

V. C. Bui,

J. I. Burgos Gil,
Multiple Zeta Values: From Numbers to Motives.

P. L. Butzer,
Stirling numbers, central factorial numbers,
and representations of the Riemann zeta function.
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,
 Super congruences on harmonic sums.

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,

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,

K. Chen,

KW. 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 ArakawaKaneko zeta functions,
 Some special Euler sums and ζ^{
☆}(r+2,{2}^{n}).
 Generalized harmonic number sums and
quasisymmetric functions.

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,

P. J. Clavier,
Double shuffle relations for arborified zeta
values.

M. W. Coffey,

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

MA. Coppo,

C. Costermans,

R. E. Crandall,

J. Cresson,
D

N. Dan,

A. I. Davydychev,

M. de Crisenoy,

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

E. D'Hoker,
 C. Dietze,
Totally odd depthgraded multiple zeta values
and period polynomials.

A. Dil,

K. Dilcher,

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,

JJ. Duchamps,
Renewal sequences and record chains related
to multiple zeta sums.

C. Duhr,

F. Dulat,
From modular forms to differential equations
for Feynman diagrams.

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,
 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}).

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.

J. Fresán, Multiple Zeta Values:
From Numbers to Motives.

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,
 The Betti side of the double shuffle theory
I. The harmonic coproduct,
 The Betti side of the double shuffle theory
II. Torsor structures,
 On the coefficients of the AlekseevTorossian
associator,
 The Betti side of the double shuffle theory
III. Double shuffle relations for associators.

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,

N. Glazunov,
(pAdic) Lfunctions and
(padic) (multiple) zeta values.

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,

N. Green,
Taylor coefficients of tmotivic
multiple zeta values and explicit formulae.

P. Guha, Witten's volume formula,
cohomological pairings of moduli spaces of flat connections and applications
of multiple zeta functions.

S. Gun,

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,

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,
 Ohnotype relations for classical and
finite multiple zetastar 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,
 Qlinear 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 zetastar 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'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,
 An asymptotic series for an integral,
 Quasishuffle products and applications.

S. Hohenegger,
Monodromy relations in higherloop 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,
 WC. Huang, A tmotivic interpretation
of shuffle relations for multizeta values.

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

A. Huber, Periods and Nori Stacks.
I

M. Igarashi,

K. Ihara,

S. Ikeda,

K. Imatomi,

H. Ishikawa,

T. Ito, On analogues of the ArakawaKaneko
zeta functions of MordellTornheim 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,

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,
 An explicit theory of
π_{1}^{un,crys}(P^{1}{0,μ_{N},
∞})  III2: 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_{pα
N},∞}),
 pAdic multiple zeta values at
roots of unity and padic prounipotent harmonic actions  IV1:
padic multiple zeta values at roots of unity extended to sequences
of integers with any sign.

CG. Ji,
A simple proof of a curious congruence by Zhao.

L. Jia,
 Z. Jin,
Motivic multiple zeta values relative to
µ_{2}.

L. Jiu,

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,

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,
 Analogues of the AokiOhno and
LeMurakami relations for finite multiple zeta values,
 An introduction to classical and finite
multiple zeta values,
 Zeta functions connecting multiple zeta
values and polyBernoulli numbers,
 On a variant of multiple zeta values of
level two,
 Quasiderivation relations for multiple
zeta values revisited.

S. Kanemitsu,
Convolution of Riemann zetavalues.

N. Kawasaki,

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,

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,
 Zetafunctions of root systems and
Poincaré polynomials of Weyl groups,
 On ArakawaKaneko zeta functions
associated with GL_{2}(C) and their functional relations,
 An overview and supplements to the
theory of functional relations for zetafunctions of root systems,
 Finite multiple zeta values,
multiple zeta functions and multiple Bernoulli polynomials.

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,

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,

JS. Lechasseur,
A reduction formula for lengthtwo
polylogarithms and some applications.

TY. Lee,

P. Lei,

S. Leurent,
Multiple zeta functions and double wrapping
in planar N = 4 SYM.
 M. Levy, An asymptotic series for an integral.
 J. Li,

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,
 Derivation relations and duality for the
sum of multiple zeta values,
 Sum of interpolated multiple qzeta
values,
 Topological properties of qanalogues
of multiple zeta values,
 Sum of interpolated finite multiple
harmonic qseries,
 Algebraic relations of interpolated multiple
zeta values,
 Weighted sum formulas of multiple
tvalues with 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,
 F. Liu, Motivic double zeta values of odd
weight.

W. Liu,

P. Lochak,

G. Louchard,

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

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

Y. Lyu,
Euler sums and Stirling sums.
M

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

D. Ma,

M. Maassarani, Bigraded Lie algebras related
to MZVs.

T. Machide,

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

C. Malvenuto,
Symmetril moulds, generic group schemes,
resummation of MZVs.
 C. Manai,
Totally odd depthgraded multiple zeta values
and period polynomials.

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,

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,
 Values at nonpositive integers of
generalized EulerZagier multiple zetafunctions,
 Zetafunctions of root systems and
Poincaré polynomials of Weyl groups,
 An overview and supplements to the
theory of functional relations for zetafunctions of root systems.

K. Matsuoka,

N. Matthes,

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

J. Mehta,

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

J. Merker,
Multizeta calculus I.

I. Mező,

M. Minamide,

Y. Mishiba,

T. Miyagawa, Analytic properties of
generalized MordellTornheim type of multiple zetafunctions and
Lfunctions.

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. MüllerStach, Periods and Nori
Stacks.

S. Muneta,

H. Murahara,
 A note on finite real multiple zeta
values,
 Derivation relations for finite multiple
zeta values,
 On multiple zeta values and finite
multiple zeta values of maximal height,
 Restricted sum formula for finite and
symmetric multiple zeta values,
 On a generalization of restricted
sum formula for multiple zeta values and finite multiple zeta values,
 Ohnotype relations for classical and
finite multiple zetastar values,
 A cyclic analogue of multiple zeta values,
 Weighted sum formulas for multiple harmonic
sums modulo primes,
 An algebraic proof of the weighted sum
formula for finite and symmetric multiple zeta values,
 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,
 Derivation relation for finite multiple
zeta values in 𝒜̂,
 A note on derivation relations for multiple
zeta values and finite multiple zeta values,
 BowmanBradley type theorem for finite
multiple zeta values in 𝒜_{2},
 Qlinear 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 zetastar values,
 Quasiderivation relations for multiple
zeta values revisited.

J. Murakami,

T. 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.

M. Nakasuji,
On Schur multiple zeta functions: a combinatoric
generalization of multiple zeta functions.

Ngo Quoc Hoan,

N. Nielsen, Die Gammafunktion.
 C. Nöbel,
Totally odd depthgraded multiple zeta values
and period polynomials.

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
 Combinatorial proofs of identities for
special values of ArakawaKaneko multiple zeta functions.

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,
 Several weighted sum formulas for multiple
zeta values,
 Sum formulas of multiple zeta values with
even arguments and polynomial weights.

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

M. Ono,,

K. Onodera,

T. Onozuka,

D. Orr,
Generalized logsine integrals and Bell polynomials.

N. E. Oussous,

K. Oyama,
PQ

R. Padma,

E. Pan,

A. Panholzer,

Ł. Pańkowski,

E. Panzer,

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?.

B. Penante,
From modular forms to differential equations
for Feynman diagrams.

D. Petersen,
Brown's dihedral moduli space and freedom
of the gravity operad.

A. Petojević, Computation of the
MordellTornheim zeta values.

M. Petitot,

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,

A. Prygarin,

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

B. Pym,
Multiple zeta values in deformation
quantization.

C. Qin,

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

J. Qu,
Some families of super congruences involving
alternating multiple harmonic sums.
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.

G. Richter,
Twisted elliptic multiple zeta values
and nonplanar oneloop openstring amplitudes.

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,

B. Saha,

S. Saito,

M. Sakata,

K. Sakugawa,

A. Salerno,

B. Salvy, Euler sums and contour integral
representations.

C. E. Sandifer, Multzeta functions.

Y. Sasaki,

N. Sato,
 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,

M. Schmidt,
Stirling numbers, central factorial numbers,
and representations of the Riemann zeta function.

C. Schneider,

R. P. Schneider,

L. Schneps,

O. Schnetz,

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,

D. Y. Shi,
Matrix representation for multiplicative nested
sums.

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.

S. Sneh Bala, Some infinite sums identities.

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,
 Polylogarithms, multiple zeta values and
superstring amplitudes,
 All order alpha'expansion of superstring
trees from the Drinfeld associator,
 Closed superstring amplitudes,
singlevalued multiple zeta values, and Deligne associator,
 Differential equations, associators, and
recurrences for amplitudes,
 Periods and superstring amplitudes,
 Monodromy relations in higherloop string
amplitudes.

A. Straub,

J. Su,
Arithmetic of Potts model hypersurfaces.

M. V. Subbarao,

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

R. Szwarc,
Symmetric moment problems and a conjecture of
Valent.
T

T. Takamuki,

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

Y. Takeyama,

T. Tanaka,
 On the quasiderivation
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 zetastar values,
 On some combinations of multiple zetastar
values,
 The BowmanBradley theorem for multiple
zetastar values,
 Combinatorial remarks on the cyclic sum
theorem for multiple zeta values,
 Cyclic sum formula for multiple
Lvalues,
 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.

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,

K. Tasaka,
 On some combinations of multiple
zetastar values,
 Double zeta values, double Eisenstein
series, and modular forms of level 2,
 On some multiple zetastar values of
onetwothree 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
qseries at roots of unity,
 Finite and symmetric colored multiple
zeta values and multiple harmonic qseries at roots of unity.

R. Tauraso,

LP. Teo,
Alternating double Euler sums, hypergeometric
identities and a theorem of Zagier.

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,
 Multizeta values for function fields: a
survey.

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.

G. Todd,
A conjectural characterization of
F_{q}[t]linear relations between multizeta
values.

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,
 Zetafunctions of root systems and
Poincaré polynomials of Weyl groups,
 On ArakawaKaneko zeta functions
associated with GL_{2}(C) and their functional relations.
 An overview and supplements to the
theory of functional relations for zetafunctions of root systems,
 Zeta functions connecting multiple zeta
values and polyBernoulli numbers,
 On a variant of multiple zeta values of
level two.

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,

R. Umezawa,

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,

RO. Vîlceanu, The multiple zeta function
and the computation of some integrals in compact form.

G. K. Viswanadham,

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
 F. Wagner,
Totally odd depthgraded multiple zeta values
and period polynomials.

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,
 BowmanBradley 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,
 Double shuffle and Hoffman's relations
for interpolated multiple zeta values,
 Sum of interpolated multiple qzeta
values.

T. Wakhare,

M. Waldschmidt,

J. Wan,

D. Wang,
Some families of super congruences involving
alternating multiple harmonic sums.

L. Wang,

Q. Wang, Moduli spaces and multiple
polylogarithm motives.

W. Wang,

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.

Z. Wojtkowiak, A weak Euler formula for
ladic Galois double zeta values.
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,
 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 qanalogues
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,
 An odd variant of Euler sums,
 Evaluations of multiple polylogarithm
functions, multiple zeta values and related zeta values,
 Weighted sum formulas of multiple
tvalues with even arguments.

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,

P. Yang,
Super congruences on harmonic sums.

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,

F. Zerbini,

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,
 Supercongruences involving multiple harmonic
sums and Bernoulli numbers,
 Some families of super congruences involving
alternating multiple harmonic sums.

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

Xia Zhou,

Xiaolian Zhou,
Explicit evaluations of sums of sequence
tails.

W. Zhu,

S. A. Zlobin,

H. Żołądek,

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

W. Zudilin,




home 
research 
MZV page 
references 