AUTHOR INDEX
[A] [B] [C]
[D-E] [F] [G]
[H] [I-J] [K]
[L] [M] [N]
[O] [P] [R]
[S] [T] [U]
[V] [W] [X-Y]
[Z]
A
- V. Adamchik, On Stirling numbers and Euler
sums.
- S. Akiyama, Analytic continuation of
multiple zeta-functions and their values at non-positive integers.
- S. Akiyama, Multiple zeta values at
non-positive integers.
- S. Albino, Analytic continuation of harmonic
sums.
- G.W. Anderson, Multizeta values for
Fq[t], their period interpretation, and relations between
them.
- T. Aoki, Sum relations for multiple zeta
values and connection formulas for the Gauss hypergeometric functions.
- T. Aoki, A generating function for sums of
multiple zeta values and its applications.
- T. M. Apostol, Dirichlet series related
to the Riemann zeta function.
- T. Arakawa, Multiple zeta values,
poly-Bernoulli numbers, and related zeta functions.
- T. Arakawa, On multiple L-values.
B
- D. H. Bailey, Experimental evaluation
of Euler sums.
- A. Basu, A new method in the study of
Euler sums.
- A. Besser, The double shuffle relations
for p-adic multiple zeta values.
- M. Bigotte, Lyndon words and shuffle
algebras for generating the coloured multiple zeta values relations tables.
- J. Blümlein, Harmonic
sums and Mellin transforms up to two-loop order.
- J. Blümlein, Analytic continuation
of Mellin transforms up to two-loop order.
- J. Blümlein, Algebraic relations
between harmonic sums and associated quantities.
- J. Blümlein, Analytic
continuation of the harmonic sums for the 3-loop anomalous dimensions.
- J. Blümlein, Structural relations
of harmonic sums and Mellin transforms at weight w=6.
- J. Blümlein, Structural relations
of harmonic sums and Mellin transforms up to weight w=5.
- J. Blümlein, The multiple zeta value
data mine.
- J. Boersma, The evaluation of character
Euler double sums.
- D. Borwein, Explicit evaluation of
Euler sums.
- D. Borwein, On an intriguing integral and
some series related to ζ(4).
- D. Borwein, Parametric Euler sum
identities.
- J. M. Borwein, Experimental evaluation
of Euler sums.
- J. M. Borwein, Explicit evaluation of
Euler sums.
- J. M. Borwein, On an intriguing integral
and some series related to ζ(4).
- J. M. Borwein, Evaluation of triple Euler
sums.
- J. M. Borwein, Evaluation of
k-fold
Euler/Zagier sums: a compendium of results for arbitrary k.
- J. M. Borwein, Combinatorial aspects of
multiple zeta values.
- J. M. Borwein, Special values of
multidimensional polylogarithms.
- J. M. Borwein, Central binomial sums,
multiple Clausen values, and zeta values.
- J. M. Borwein, Parametric Euler sum
identities.
- J. M. Borwein, Thirty-two Goldbach variations
.
- J. M. Borwein, Hilbert's inequality and
Witten's zeta-function.
- J. M. Borwein, The evaluation of character
Euler double sums.
- D. Bowman, The algebra and combinatorics
of shuffles and multiple zeta values.
- D. Bowman,
Some multi-set inclusions associated with shuffle convolutions and multiple
zeta values.
- D. Bowman, Resolution of some open
problems concerning multiple zeta evaluations of arbitrary depth.
- D. Bowman, Multiple polylogarithms: a brief
survey
- K. N. Boyadzhiev, Evaluation of Euler-Zagier
sums.
- K. N. Boyadzhiev, Consecutive evaluation of
Euler sums.
- K. N. Boyadzhiev, The values of an
Euler sum at the negative integers and a relation to a certain convolution
of Bernoulli numbers.
- D. M. Bradley, Evaluation of
k-fold
Euler/Zagier sums: a compendium of results for arbitrary k.
- D. M. Bradley, Combinatorial aspects of
multiple zeta values.
- D. M. Bradley, The algebra
and combinatorics of shuffles and multiple zeta values.
- D. M. Bradley, Special values of
multidimensional polylogarithms.
- D. M. Bradley, Multiple polylogarithms:
a brief survey
- D. M. Bradley,
Some multi-set inclusions associated with shuffle convolutions and multiple
zeta values.
- D. M. Bradley, Resolution of some open
problems concerning multiple zeta evaluations of arbitrary depth.
- D. M. Bradley, Multiple q-zeta values.
- D. M. Bradley, Partition identities for the
multiple zeta function.
- D. M. Bradley, A q-analog of Euler's
decomposition formula for the double zeta function.
- D. M. Bradley, Duality for finite
multiple harmonic q-series.
- D. M. Bradley, Parametric Euler sum
identities.
- D. M. Bradley, Thirty-two Goldbach variations
.
- D. M. Bradley, On the sum formula for
multiple q-zeta values.
- D. M. Bradley, Signed q-analogs of
Tornheim's double series.
- D. M. Bradley, A signed analog of
Euler's reduction formula for the double zeta function.
- D. M. Bradley, Depth reduction of a class
of Witten zeta functions.
- D. J. Broadhurst, Association of
multiple zeta values with positive knots via Feynman diagrams up to 9
loops.
- D. J. Broadhurst, Evaluation of
k-fold
Euler/Zagier sums: a compendium of results for arbitrary k.
- D. J. Broadhurst, Massive 3-loop Feynman
diagrams reducible to SC* primitives of algebras of the sixth root of
unity.
- D. J. Broadhurst, Combinatorial aspects of
multiple zeta values.
- D. J. Broadhurst, Special values of
multidimensional polylogarithms.
- D. J. Broadhurst, Central binomial sums,
multiple Clausen values, and zeta values.
- D. J. Broadhurst, On the enumeration of
irreducible k-fold Euler sums and their roles in knot theory and
field theory.
- D. J. Broadhurst, Conjectured enumeration
of irreducible multiple zeta values, from knots and Feynman diagrams.
- D. J. Broadhurst, The multiple zeta value
data mine.
- F. C. S. Brown, Multiple zeta values and
periods of moduli spaces M0,n.
- F. C. S. Brown, Périodes des
espaces des modules M0,n et valeuers zêtas multiples.
- F. C. S. Brown, The massless higher-loop
two-point function.
- F. C. S. Brown, Algebra of cell-zeta values.
- J. P. Buhler, On the evaluation of Euler
sums.
C
- T. Cai, Signed q-analogs of Tornheim's
double series.
- T. Cai, Depth reduction of a class
of Witten zeta functions.
- S. Carr, Algebra of cell-zeta values.
- P. Cartier, Fonctions polylogarithmes,
nombres polyzêtas et groupes pro-unipotents.
- K-W. Chen, Explicit evaluations
of extended Euler sums.
- Y-H. Chen, Multiple zeta values and
application to the Lacunary recurrence formulas of Bernoulli numbers.
- Y. J. Cho, Euler sums evaluatable from
integrals.
- J. Choi, Euler sums evaluatable from
integrals.
- J. Choi, Explicit evaluation of Euler and
related sums.
- M. W. Coffey, On some log-cosine
integrals related to ζ(3), ζ(4), and ζ(6).
- M. W. Coffey, On one-dimensional
digamma and polygamma series related to the evaluation of Feynman
digrams.
- M. W. Coffey, On a three-dimensional
symmetric Ising tetrahedron and contributions to the theory of the
dilogarithm and Clausen functions.
- M-A. Coppo, Sur les sommes d'Euler
divergentes.
- C. Costermans, Algorithmic and combinatoric
aspects of multiple harmonic sums.
- C. Costermans, Structure and asymptotic
expansion of multiple harmonic sums.
- C. Costermans, Some results à
l'Abel obtained by use of techniques à la Hopf.
- C. Costermans, Noncommutative algebra,
multiple harmonic sums and applications in discrete probability.
- R. E. Crandall, On the evaluation of Euler
sums.
- R. E. Crandall, Fast evaluation of multiple
zeta sums.
- J. Cresson, Polyzétas stricts, larges
et pondérés.
- J. Cresson, Séries
hypergéometriques multiples et polyzêtas.
- J. Cresson, Phénomènes de
symétrie dans des formes linéaires en polyzêtas.
- M. de Crisenoy, Relations between
values at T-tuples of negative integers of twisted multivariable zeta
series associated to polynomials of several variables.
D-E
- A. I. Davydychev, Some remarks on the
ε-expansion of dimensionally regulated Feynman diagrams.
- A. I. Davydychev, New results for the
ε-expansion of certain one-, two- and three-loop Feynman diagrams.
- A. I. Davydychev, Massive Feynman diagrams
and inverse binomial sums.
- K. Ebrahimi-Fard, Multiple zeta values and
Rota-Baxter algebras.
- J. Écalle, ARI/GARI, la dimorphie
et l'arithmétique des multizêtas: un premier bilan.
- J. Écalle, Recent advances in the
analysis of divergence and singularities.
- J. Écalle, Multizetas, perinomal
numbers, arithmetical dimorphy, and ARI/GARI.
- S. Egami, Analytic continuation of
multiple zeta-functions and their values at non-positive integers.
- M. Eie, Explicit evaluations of
extended Euler sums.
- M. Eie, Explicit evaluation of
triple Euler sums.
- M. Eie, A short proof of the sum formula
and its generalization.
- M. Eie, A restricted sum formula among
multiple zeta values.
- J-Y. Enjalbert, Analytic and combinatoric
aspects of Hurwitz polyzêtas.
- J-Y. Enjalbert, Algorithmic and combinatoric
aspects of multiple harmonic sums.
- J-Y. Enjalbert, Structure and asymptotic
expansion of multiple harmonic sums.
- B. Enriquez, A formula for the logarithm of
the KZ associator.
- M. Espie, Formal computations about multiple
zeta values.
- O. Espinosa, The evaluation
of Tornheim double sums, Part I.
- O. Espinosa, The evaluation
of Tornheim double sums, Part II.
- D. Essouabri, Relations between
values at T-tuples of negative integers of twisted multivariable zeta
series associated to polynomials of several variables.
- L. Euler, Meditationes circa singulare
serierum genus.
F
- S. Fischler, Formes linéaires en
polyzêtas et intégrales multiples.
- S. Fishchler, Séries
hypergéometriques multiples et polyzêtas.
- S. Fischler, Phénomènes de
symétrie dans des formes linéaires en polyzêtas.
- S. Fischler, Multiple series connected
to Hoffman's conjecture on multiple zeta values.
- P. Flajolet, Euler sums and
contour integral representations.
- P. Freitas, Integrals of polylogarithmic
functions, recurrence relations, and associated Euler sums.
- H. Furusho, The multiple zeta value algebra
and the stable derivation algebra.
- H. Furusho, p-Adic multiple zeta values
I--p-adic multiple polylogarithms and the p-adic KZ equation.
- H. Furusho, The double shuffle relations
for p-adic multiple zeta values.
- H. Furusho, Multiple zeta values and
Grothendick-Teichmüller groups.
- H. Furusho, p-Adic multiple zeta values
II--Tannakian interpretations.
- H. Furusho, Regularization
and generalized double shuffle relations for p-adic multiple zeta values.
- H. Furusho, Double shuffle relation for
associators.
- P. H. Fuss (ed.), Correspondance
Mathématique et Physique de quelques célèbres
Géomètres.
G
- H. G. Gadiyar, The values of an
Euler sum at the negative integers and a relation to a certain convolution
of Bernoulli numbers.
- H. Gangl, Double zeta values and modular
forms.
- F. Gavarini, A formula for the logarithm
of the KZ associator.
- R. Girgensohn, Experimental evaluation
of Euler sums.
- R. Girgensohn, Explicit evaluation of
Euler sums.
- R. Girgensohn, Evaluation of triple Euler
sums.
- A. B. Goncharov, Multiple polylogarithms,
cyclotomy, and modular complexes.
- A. B. Goncharov, The dihedral Lie algebras
and Galois symmetries of π1(l)(
P1-({0,∞}∪μN)).
- A. B. Goncharov, Multiple ζ-values,
Galois groups, and geometry of modular varieties.
- A. B. Goncharov, Multiple ζ-motives
and moduli spaces M0,n.
- A. Granville, A decomposition of Riemann's
zeta-function.
- L. Guo, Multiple zeta values and Rota-Baxter
algebras.
- L. Guo, Renormalization of multiple zeta
values.
- L. Guo, Differential Algebraic Birkhoff
Decomposition and the renormalization of multiple zeta values.
- L. Guo, Algebraic Birkhoff decomposition
and its applications.
- L. Guo, Explicit double shuffle relations
and a generalization of Euler's decomposition formula.
- L. Guo, Weighted sum formulas for multiple
zeta values.
- L. Guo, Double shuffle relations and
renormalization of multiple zeta values.
H
- Hoang Ngoc Minh, Computation of
the monodromy of generalized polylogarithms.
- Hoang Ngoc Minh, Aspects combinatoires
des polylogarithms et des sommes d'Euler-Zagier.
- Hoang Ngoc Minh, Lyndon words,
polylogarithms, and the Riemann ζ function.
- Hoang Ngoc Minh, De l'algèbre des
ζ de Riemann multivariées à l'algèbre des ζ
de Hurwitz multivariées.
- Hoang Ngoc Minh, Shuffle algebra and
differential Galois group of colored polylogarithms.
- Hoang Ngoc Minh, Analytic and combinatoric
aspects of Hurwitz polyzêtas.
- Hoang Ngoc Minh, Algorithmic and combinatoric
aspects of multiple harmonic sums.
- Hoang Ngoc Minh, Structure and asymptotic
expansion of multiple harmonic sums.
- Hoang Ngoc Minh, Some results à
l'Abel obtained by use of techniques à la Hopf.
- Hoang Ngoc Minh, Noncommutative algebra,
multiple harmonic sums and applications in discrete probability.
- M. E. Hoffman, Multiple harmonic series.
- M. E. Hoffman, Sums of triple harmonic
series.
- M. E. Hoffman, The algebra of multiple
harmonic series.
- M. E. Hoffman, Quasi-shuffle products.
- M. E. Hoffman, Periods of mirrors and
multiple zeta values.
- M. E. Hoffman, Relations of multiple zeta
values and their algebraic expression.
- M. E. Hoffman, Algebraic aspects of multiple
zeta values.
- M. E. Hoffman, The Hopf algebra structure
of multiple harmonic sums.
- M. E. Hoffman, Quasi-symmetric functions,
multiple zeta values, and rooted trees.
- M. E. Hoffman, A character on the
quasi-symmetric functions coming from multiple zeta values.
- M. E. Hoffman, Quasi-symmetric functions
and mod p multiple harmonic sums.
- I. Horozov, Multiple zeta values, modular
forms, and adeles.
- J. G. Huard, On Tornheim's double series.
I-J
- M. Igarashi, A generalization of Ohno's
relation for multiple zeta values.
- K. Ihara, The quantum g2 invariant and
relations of multiple zeta values.
- K. Ihara, Derivation and double shuffle
relations for multiple zeta values.
- K. Ihara, Symmetry on linear relations
for multiple zeta values.
- H. Ishikawa, On the
estimation of the order of Euler-Zagier multiple zeta-functions.
- G. Jacob, Aspects combinatoires des
polylogarithms et des sommes d'Euler-Zagier.
- G. Jacob, Lyndon words and shuffle
algebras for generating the coloured multiple zeta values relations tables.
- G. Jacob, De l'algèbre des ζ
de Riemann multivariées à l'algèbre des ζ de Hurwitz
multivariées
- A. Jafari, Regularization and
generalized double shuffle relations for p-adic multiple zeta values.
- D. S. Jang, Explicit evaluations of special
multiple zeta values ζ({4l+2}n) and
ζ({4l}n).
- M. Jung, Euler sums evaluatable from
integrals.
K
- J. Kajikawa, Duality and double shuffle
relations for multiple zeta values.
- M. Yu. Kalmykov, Single scale diagrams
and multiple binomial sums.
- M. Yu. Kalmykov, Some remarks on the
ε-expansion of dimensionally regulated Feynman diagrams.
- M. Yu. Kalmykov, New results for the
ε-expansion of certain one-, two- and three-loop Feynman diagrams.
- M. Yu. Kalmykov, Massive Feynman diagrams
and inverse binomial sums.
- M. Yu. Kalmykov, All order
ε-expansion of Gauss hypergeometric functions with integer or
half-integer values of parameters.
- M. Yu. Kalmykov, Multiple (inverse)
binomial sums of arbitrary weight and depth and the all-order
ε-expansion of generalized hypergeometric functions with one
half-integer value of parameter.
- M. Yu. Kalmykov, On the all-order
ε-expansion of generalized hypergeometric functions with integer
values of parameters.
- M. Yu. Kalmykov, Towards all-order
Laurent expansion of generalized hypergeometric functions around rational
values of parameters.
- K. Kamamo, The multiple Hurwitz zeta
function and a generalization of Lerch's formula.
- J. Kamnitzer, Central binomial sums,
multiple Clausen values, and zeta values.
- M. Kaneko, Multiple zeta values,
poly-Bernoulli numbers, and related zeta functions.
- M. Kaneko, On multiple L-values.
- M. Kaneko, Multiple zeta values.
- M. Kaneko, Double zeta values and modular
forms.
- M. Kaneko, Derivation and double shuffle
relations for multiple zeta values.
- M. Kaneko, On an extension of the derivation
relation for multiple zeta values.
- M. Kaneko, A note on poly-Bernoulli numbers
and multiple zeta values.
- M. Kaneko, On a conjecture for the dimension
of the space of the multiple zeta values.
- G. Kawashima, A class of relations among
multiple zeta values.
- G. Kawashima, A generalization of the
duality for multiple harmonic sums.
- G. Kawashima, Multiple series expressions
for the Newton series which interpolate finite multiple harmonic sums.
- G. Kawashima, A generalization of the
duality for finite multiple harmonic q-series.
- J. P. Kelliher, Analytic continuation of
multiple Hurwitz zeta functions.
- K. Kimoto, A variation of multiple
L-values arising from the spectal zeta function of the non-commutative
harmonic oscillator.
- S. Kitani, Finite automata and relations
of multiple zeta values.
- I. Kiuchi, Bounds for double
zeta-functions.
- B. A. Kniehl, Towards all-order
Laurent expansion of generalized hypergeometric functions around rational
values of parameters.
- Y. Kombu, A generating function for sums of
multiple zeta values and its applications.
- Y. Komori, An integral representation
of the Mordell-Tornheim double zeta function and its values at non-positive
integers.
- Y. Komori, Shuffle products for
multiple zeta values and partial fraction decompositions of zeta-functions
of root systems.
- Y. Komori, On Witten multiple zeta-functions
associated with semisimple Lie algebras II.
- Y. Komori, On Witten multiple zeta-functions
associated with semisimple Lie algebras III.
- Y. Komori, On Witten multiple zeta-functions
associated with semisimple Lie algebras IV.
- M. Kontsevich, Periods.
- D. Kreimer, Association of multiple
zeta values with positive knots via Feynman diagrams up to 9 loops.
- M. Kuba, On evaluations of infinte double
series and Tornheim's double series.
- M. Kuba, On functions of Arakawa and
Kaneko and multiple zeta functions.
- M. Kuba, On a reciprocity law for finite
multiple zeta values.
- S. Kurth, Harmonic sums and Mellin
transforms up to two-loop order.
L
- M. N. Lalín, Some examples of Mahler
measure as multiple polylogarithms.
- M. N. Lalín, On a certain combination
of colored multizeta values.
- T. Q. T. Le, Kontsevich's integral for
the Homfly polynomial and relations between values of the multiple zeta
functions.
- T. Q. T. Le, Kontsevich's integral for the
Kauffman polynomial.
- Z-h. Li, Sum of multiple zeta values
of fixed weight, depth and i-height.
- Z-h. Li, Sum of multiple q-zeta values.
- W-C. Liaw, Explicit evaluation of
triple Euler sums.
- W-C. Liaw, A restricted sum formula among
multiple zeta values.
- P. Lisonek, Combinatorial aspects of
multiple zeta values.
- P. Lisonek, Special values of
multidimensional polylogarithms.
- R. Lu, The Γ^-genus and a regularization
of an S1-equivariant Euler class.
M
- T. Machide, Generators for vector spaces
consisting of double zeta values with even weight.
- D. Manchon, Chen sums of symbols and
renormalised multiple zeta functions.
- Yu. I. Manin, Iterated integrals of modular
forms and noncommutative modular symbols.
- Yu. I. Manin, Multiple ζ-motives
and moduli spaces M0,n.
- T. Mansour, Identities for sums of a
q-analogue of polylogarithm functions.
- C. Markett, Triple sums and the Riemann
zeta function.
- R. Masri, The Herglotz-Zagier function,
double zeta values, and values of L-series.
- R. Masri, Multiple Dedekind zeta
functions and evaluations of extended multiple zeta values.
- R. Masri, Analytic continuation of
multiple Hurwitz zeta functions.
- R. Masri, Multiple zeta values over global
function fields.
- O. Mathieu, On a symmetric space attached
to polyzeta values.
- K. Matsumoto, On the analytic continuation
of various multiple-zeta functions.
- K. Matsumoto, On the
estimation of the order of Euler-Zagier multiple zeta-functions.
- K. Matsumoto, Analytic properties of multiple
zeta-functions in several variables.
- K. Matsumoto, On Witten multiple zeta-functions
associated with semisimple Lie algebras I.
- K. Matsumoto, Functional relations and
special values of Mordell-Tornheim triple and L-functions.
- K. Matsumoto, A new method of producing
functional relations among multiple zeta-functions.
- K. Matsumoto, On value-relations,
functional relations and singularities of Mordell-Tornheim and related
triple zeta-functions.
- K. Matsumoto, Functional relations among
certain double polylogarithms and their character analogues.
- K. Matsumoto, On Witten multiple zeta-functions
associated with semisimple Lie algebras II.
- K. Matsumoto, On Witten multiple zeta-functions
associated with semisimple Lie algebras III.
- K. Matsumoto, On Witten multiple zeta-functions
associated with semisimple Lie algebras IV.
- K. Matsumoto, Shuffle products for
multiple zeta values and partial fraction decompositions of zeta-functions
of root systems.
- S. Moch, Nested sums, expansion of
transcendental functions and multiscale multiloop integrals.
- S. Moch, Deep inelastic structure functions
at two loops.
- S. Moch, Analytic continuation of the
harmonic sums for the 3-loop anomalous dimensions.
- C. Moen, Sums of triple harmonic series.
- V. H. Moll, The evaluation of Tornheim
double sums, Part I.
- V. H. Moll, The evaluation of Tornheim
double sums, Part II.
- U. Müller,
A quantum field theoretical representation of Euler-Zagier sums.
- S. Muneta, On some explicit evaluations of
multiple star-zeta values.
- S. Muneta, Algebraic setup of non-strict
multiple zeta values.
- S. Muneta, A note on evaluations of
multiple zeta values.
- J. Murakami, Kontsevich's
integral for the Homfly polynomial and relations between values of the
multiple zeta functions.
- J. Murakami, Kontsevich's integral for the
Kauffman polynomial.
- M. Ram Murty, Multiple Hurwitz zeta functions
.
N
- T. Nakamura, Bernoulli numbers and multiple
zeta values.
- T. Nakamura, A functional relation
for the Tornheim zeta function.
- T. Nakamura, Functional relations and
special values of Mordell-Tornheim triple and L-functions.
- T. Nakamura, On value-relations,
functional relations and singularities of Mordell-Tornheim and related
triple zeta-functions.
- T. Nakamura, Zeroes and the universality
for the Euler-Zagier-Hurwitz type of multiple zeta-functions.
- T. Nakamura, Restricted and weighted sum
formulas for double zeta values of even weight.
- N. Nielsen, Die Gammafunktion.
- J-C. Novelli, Formal computations about
multiple zeta values.
- M. Noro, On a conjecture for the dimension
of the space of the multiple zeta values.
O
- H. Ochiai, Symmetry on linear relations
for multiple zeta values.
- H. Ochiai, On value-relations,
functional relations and singularities of Mordell-Tornheim and related
triple zeta-functions.
- Y. Ohno, A generalization of the duality
and sum formulas on the multiple zeta values.
- Y. Ohno, Multiple zeta values of fixed
weight, depth, and height.
- Y. Ohno, Relations of multiple zeta values
and their algebraic expression.
- Y. Ohno, Sum relations for multiple zeta
values.
- Y. Ohno, Sum relations for multiple zeta
values and connection formulas for the Gauss hypergeometric functions.
- Y. Ohno, Cyclic sum of multiple zeta
values.
- Y. Ohno, On the sum formula
for the q-analogue of non-strict multiple zeta values.
- Y. Ohno, A generating function for sums of
multiple zeta values and its applications.
- Y. Ohno, Zeta stars.
- Y. Ohno, Cyclic q-MZSV sum.
- S. Oi, Representation of the Gauss
hypergeometric function by multiple polylogarithms and relations of multiple
zeta values.
- S. Oi, Representation of solutions
of the Gauss hypergeometric equation by the multiple polylogarithms,
functional relations of the multiple polylogarithms, and relations of the
multiple zeta values.
- S. Oi, The formal KZ equation of
the moduli space M0,5 and the harmonic product of multiple
zeta values.
- J. Okuda, Relations for
multiple zeta values and Mellin transforms of multiple polylogarithms.
- J. Okuda, The sum formula for
multiple zeta values and connection problem of the formal
Knizhnik-Zamolodchikov equation.
- J. Okuda, Duality formulas of the special
values of multiple polylogarithms.
- J. Okuda, On the sum formula
for the q-analogue of non-strict multiple zeta values
- J. Okuda, On relations for the multiple
q-zeta values.
- J. Okuda, New approach to Ohno
relations for multiple zeta values.
- J. Okuda, Cyclic q-MZSV sum.
- Y. L. Ong, Explicit evaluation of
triple Euler sums.
- Y. L. Ong, A restricted sum formula among
multiple zeta values.
- N. E. Oussous, Aspects combinatoires des
polylogarithms et des sommes d'Euler-Zagier.
- N. E. Oussous, Lyndon words and shuffle
algebras for generating the coloured multiple zeta values relations tables.
- N. E. Oussous, De l'algèbre des
ζ de Riemann multivariées à l'algèbre des ζ
de Hurwitz multivariées
P
- R. Padma, The values of an Euler sum
at the negative integers and a relation to a certain convolution of
Bernoulli numbers.
- A. Panholzer, Computer-free evaluation of
an infinite double sum via Euler sums.
- S. Paycha, Chen sums of
symbols and renormalised multiple zeta functions.
- S. Paycha, Double shuffle relations and
renormalization of multiple zeta values.
- R. Pemantle, When is 0.999... equal to 1?.
- A. Petojevic, Computation of the
Mordell-Tornheim zeta values.
- M. Petitot, Computation of
the monodromy of generalized polylogarithms.
- M. Petitot, Aspects combinatoires des
polylogarithms et des sommes d'Euler-Zagier.
- M. Petitot, Lyndon words, polylogarithms,
and the Riemann ζ function.
- M. Petitot, Lyndon words and shuffle
algebras for generating the coloured multiple zeta values relations tables.
- M. Petitot, De l'algèbre des ζ
de Riemann multivariées à l'algèbre des ζ de Hurwitz
multivariées
- M. Petitot, Structure and asymptotic
expansion of multiple harmonic sums.
- H. Prodinger, Computer-free evaluation of
an infinite double sum via Euler sums.
- H. Prodinger, On a reciprocity law for finite
multiple zeta values.
R
- G. Racinet, Torseurs associés
à certaines relations algébriques entre polyzêtas aux
racines de l'unité.
- G. Racinet, Algèbre de Lie de valeuers
formelles d'hyperlogarithmes aux racines de l'unité.
- G. Racinet, Formal computations about
multiple zeta values.
- G. Racinet, Doubles mélanges des
polylogarithmes multiples aux racines de l'unité.
- T. M. Rassias, Some classes of
infinite series associated with the Riemann zeta and polygamma functions
and generalized harmonic numbers.
- E. Remiddi, Harmonic polylogarithms.
- T. Rivoal, Séries
hypergéometriques multiples et polyzêtas.
- T. Rivoal, Phénomènes de
symétrie dans des formes linéaires en polyzêtas.
- J. H. Ryoo,
Some multi-set inclusions associated with shuffle convolutions and multiple
zeta values
S
- B. Salvy, Euler sums and contour integral
representations.
- Y. Sasaki, Multiple zeta values for
coordinatewise limits at non-positive integers.
- E. Sawada, Finite automata and relations
of multiple zeta values.
- K.-G. Schlesinger, Some remarks on q-deformed
multiple polylogarithms.
- C. Schneider, When is 0.999... equal to 1?.
- C. Schubert,
A quantum field theoretical representation of Euler-Zagier sums.
- C. Sekine, Partial sums of multiple zeta
value series.
- L. Schneps, Algebra of cell-zeta values.
- L-C. Shen, Remarks on some integrals
and series involving the Stirling numbers and ζ(n).
- K. Sinha, Multiple Hurwitz zeta functions
.
- R. Sitaramachandrarao, On some infinite
series of L. J. Mordell and their analogues.
- R. Sitaramachandrarao, Transformation
formulae for multiple series.
- J-W. Son, Explicit evaluations of special
multiple zeta values ζ({4l+2}n) and
ζ({4l}n).
- J. Sondow, Integrals over polytopes,
multiple zeta values and polylogarithms, and Euler's constant.
- I. Soudères, Motivic double shuffle.
- H. M. Srivastava, Some classes of
infinite series associated with the Riemann zeta and polygamma functions
and generalized harmonic numbers.
- H. M. Srivastava, Explicit evaluation of
Euler and related sums.
- H. M. Srivastava, Computation of the
Mordell-Tornheim zeta values.
- M. V. Subbarao, On some infinite
series of L. J. Mordell and their analogues.
- M. V. Subbarao, Transformation formulae for
multiple series.
T
- T. Takamuki, The Kontsevich invariant and
relations of multiple zeta values.
- T. Takamuki, The quantum
g2 invariant and relations of multiple zeta values.
- Y. Takeyama, On relations for the multiple
q-zeta values.
- Y. Takeyama, A q-analogue of non-strict
multiple zeta values and basic hypergeometric series.
- T. Tanaka, On the quasi-derivation
relation for multiple zeta values.
- T. Tanaka, An algebraic proof of cyclic
sum formula for multiple zeta values.
- Y. Tanigawa, Analytic continuation of
multiple zeta-functions and their values at non-positive integers.
- Y. Tanigawa, Multiple zeta values at
non-positive integers.
- Y. Tanigawa, Bounds for double
zeta-functions.
- T. Terasoma, Selberg integrals and multiple
zeta values.
- T. Terasoma, Mixed Tate motives and
multiple zeta values.
- T. Terasoma, Geometry of multiple zeta
values.
- D. Terhune, Evaluation of double L-values.
- D. Thakur, Function Field Arithmetic.
- D. Thakur, Multizeta values for
Fq[t], their period interpretation, and relations between
them.
- D. Thakur, Relations between multizeta
values for Fq[t].
- D. Thakur, Power sums with applications
to multizeta and zeta zero distribution for Fq[t].
- L. Tornheim, Harmonic double series.
- H. Tsumura, On some combinatorial relations
for Tornheim's double series.
- H. Tsumura, On alternating analogues of
Tornheim's double series.
- H. Tsumura, Evaluation formulas for
Tornheim's type of alternating double series.
- H. Tsumura, On evaluation formulas for
double L-values.
- H. Tsumura, Combinatorial relations for
Euler-Zagier sums.
- H. Tsumura, Multiple harmonic series
related to multiple Euler numbers.
- H. Tsumura, Certain functional relations
for the double harmonic series related to the double Euler numbers.
- H. Tsumura, On some functional relations
between Mordell-Tornheim double L-functions and Dirichlet L-functions.
- H. Tsumura, On Witten multiple zeta-functions
associated with semisimple Lie algebras I.
- H. Tsumura, On Mordell-Tornheim zeta
values.
- H. Tsumura, On functional relations
between the Mordell-Tornheim double zeta functions and the Riemann zeta
function.
- H. Tsumura, Functional relations and
special values of Mordell-Tornheim triple and L-functions.
- H. Tsumura, A new method of producing
functional relations among multiple zeta-functions.
- H. Tsumura, On value-relations,
functional relations and singularities of Mordell-Tornheim and related
triple zeta-functions.
- H. Tsumura, Functional relations among
certain double polylogarithms and their character analogues.
- H. Tsumura, On alternating analogues
of Tornheim's double series II.
- H. Tsumura, On Witten multiple zeta-functions
associated with semisimple Lie algebras II.
- H. Tsumura, On Witten multiple zeta-functions
associated with semisimple Lie algebras III.
- H. Tsumura, On Witten multiple zeta-functions
associated with semisimple Lie algebras IV.
- H. Tsumura, Shuffle products for
multiple zeta values and partial fraction decompositions of zeta-functions
of root systems.
- K. Tsurumaki, On a conjecture for the
dimension of the space of the multiple zeta values.
U
- K. Ueno, Relations for
multiple zeta values and Mellin transforms of multiple polylogarithms.
- K. Ueno, The sum formula for multiple
zeta values and connection problem of the formal Knizhnik-Zamolodchikov
equation.
- K. Ueno, New approach to Ohno relations
for multiple zeta values.
- K. Ueno, Finite automata and relations of
multiple zeta values.
- K. Ueno, The formal KZ equation of
the moduli space M0,5 and the harmonic product of multiple
zeta values.
- E. A. Ulanskii, Identities for generalized
polylogarithms.
- S. Ünver, p-Adic multi-zeta values.
- P. Uwer, Nested sums, expansion of
transcendental functions and multiscale multiloop integrals.
V
- J. Van Der Hoven, Computation of
the monodromy of generalized polylogarithms.
- O. Veretin, Single scale diagrams
and multiple binomial sums.
- J. A. M. Vermaseren, Harmonic sums, Mellin
transforms and integrals.
- J. A. M. Vermaseren, Harmonic polylogarithms.
- J. A. M. Vermaseren, Deep inelastic structure
functions at two loops.
- J. A. M. Vermaseren, The multiple zeta value
data mine.
- J. Vollinga, Numerical evaluation of multiple
polylogarithms.
- T. H. Vu, Dirichlet series related to the
Riemann zeta function.
W
- N. Wakabayashi, Cyclic sum of multiple
zeta values.
- N. Wakabayashi, An algebraic proof of
cyclic sum formula for multiple zeta values.
- M. Waldschmidt, Valeurs zêta multiples.
Une introduction.
- M. Waldschmidt, Hopf algberas and
transcendental numbers.
- M. Waldschmidt, Multiple polylogarithms: an
introduction.
- Q. Wang, Moduli spaces and multiple
polylogarithm motives.
- B. F. L. Ward, All order
ε-expansion of Gauss hypergeometric functions with integer or
half-integer values of parameters.
- B. F. L. Ward, Multiple (inverse)
binomial sums of arbitrary weight and depth and the all-order
ε-expansion of generalized hypergeometric functions with one
half-integer value of parameter.
- B. F. L. Ward, On the all-order
ε-expansion of generalized hypergeometric functions with integer
values of parameters.
- C-S Wei, A short proof of the sum formula
and its generalization.
- S. Weinzierl, Nested sums, expansion of
transcendental functions and multiscale multiloop integrals.
- S. Weinzierl, Numerical evaluation of
multiple polylogarithms.
- Chu Wenchang, Symmetric functions and the
Riemann zeta series.
- G. T. Williams, A new method of evaluating
ζ(2n).
- K. S. Williams, On Tornheim's double
series.
X-Y
- B. Xie, Explicit double shuffle relations
and a generalization of Euler's decomposition formula.
- B. Xie, Weighted sum formulas for multiple
zeta values.
- B. Xie, Double shuffle relations and
renormalization of multiple zeta values.
- Y. Yamasaki, A variation of multiple
L-values arising from the spectal zeta function of the non-commutative
harmonic oscillator.
- Y. Yamasaki, Evaluations of multiple
Dirichlet L-values via symmetric functions.
- S. Yost, All order ε-expansion
of Gauss hypergeometric functions with integer or half-integer values of
parameters.
- S. Yost, Multiple (inverse)
binomial sums of arbitrary weight and depth and the all-order
ε-expansion of generalized hypergeometric functions with one
half-integer value of parameter.
- S. Yost, On the all-order
ε-expansion of generalized hypergeometric functions with integer
values of parameters.
Z
- D. Zagier, Values of zeta functions and
their applications.
- D. Zagier, Periods.
- D. Zagier, Multiple zeta values
of fixed weight, depth, and height.
- D. Zagier, Double zeta values and modular
forms.
- D. Zagier, Derivation and double shuffle
relations for multiple zeta values.
- B. Zhang, Renormalization of multiple zeta
values.
- B. Zhang, Differential Algebraic Birkhoff
Decomposition and the renormalization of multiple zeta values.
- B. Zhang, Double shuffle relations and
renormalization of multiple zeta values.
- Zhang Nan-Yue, On Tornheim's double
series.
- J. Zhao, Analytic continuation of multiple
zeta functions.
- J. Zhao, Multiple q-zeta functions and
multiple q-polylogarithms.
- J. Zhao, Bernoulli numbers,
Wolstenholme's theorem, and p5 variations of Lucas' theorem.
- J. Zhao, Wolstenholme type theorem for
multiple harmonic sums.
- J. Zhao, Analytic continuation of
multiple polylogarithms.
- J. Zhao, Multiple harmonic sums II: Finiteness
of p-divisible sets.
- J. Zhao, Renormalization of multiple q-zeta
values.
- J. Zhao, An exotic shuffle relation for
multiple zeta values.
- J. Zhao, Double shuffle relations of Euler
sums.
- J. Zhao, Linear relations of special
values of multiple polylogarithms at roots of unity.
- J. Zhao, Multiple polylogarithm values
at roots of unity.
- J. Zhao, Reducibility of signed
cyclic sums of Mordell-Tornheim zeta and L-values.
- J. Zhao, Alternating Euler sums
and special values of Witten multiple zeta function attached to so(5).
- J. Zhao, Witten multiple zeta values
attached to sl(4).
- J. Zhao, Multi-polylogs at twelfth
roots of unity and special values of Witten multiple zeta function attached
to the exceptional Lie algebra g2.
- J. Zhao, A note on colored Tornheim's double
series.
- D-Y. Zheng, Further summation formulae
related to generalized harmonic numbers.
- X. Zhou, Signed q-analogs of Tornheim's
double series.
- X. Zhou, Reducibility of signed
cyclic sums of Mordell-Tornheim zeta and L-values.
- X. Zhou, Witten multiple zeta values
attached to sl(4).
- X. Zhou, Depth reduction of a class
of Witten zeta functions.
- S. A. Zlobin, A certain integral over a
triangle.
- S. A. Zlobin, A note on arithmetic properties
of multiple zeta values.
- S. A. Zlobin, Integrals over polytopes,
multiple zeta values and polylogarithms, and Euler's constant.
- S. A. Zlobin, Generating functions for the
values of a multiple zeta function.
- S. A. Zlobin, Special values of generalized
polylogarithms.
- S. A. Zlobin, Relations for multiple zeta
values.
- I. J. Zucker, The evaluation of character
Euler double sums.
- W. Zudilin, Algebraic relations for multiple
zeta values.
- W. Zudilin, One parameter models of Hopf
algebras associated with multiple zeta values.
- W. Zudilin, Zeta stars.
- W. Zudilin, Cyclic q-MZSV sum.
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