Cover Image

Multiple polylogarithms, a regularisation process and an admissible open domain of convergence

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Mehta, Pawan Singh, Saha, Biswajyoti
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11M32
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A note on the multiple zeta functions and their variants at identical arguments
by: Mehta, Pawan Singh
Published: (2026)

A triple convolution sum of the divisor function
by: Misra, Bikram, et al.
Published: (2025)

Ramaswami Type translation formulae for the polylogarithm functions
by: Mehta, Pawan Singh, et al.
Published: (2026)

Duality on symmetric multiple polylogarithms
by: Kawamura, Hanamichi
Published: (2024)

Laurent type expansion of multiple polylogarithms at integer points
by: Mehta, Pawan Singh, et al.
Published: (2026)

A discretization of the iterated integral expression of the multiple polylogarithm
by: Hirose, Minoru, et al.
Published: (2024)

Two formulas for certain double and multiple polylogarithms in two variables
by: Kaneko, Masanobu, et al.
Published: (2024)

Mordell-Tornheim multiple zeta-functions, their integral analogues, and relations among multiple polylogarithms
by: Matsumoto, Kohji, et al.
Published: (2024)

A $q$-analogue of Boyadzhiev-Mneimneh-type binomial sums of finite multi-polylogarithms
by: Kamano, Ken
Published: (2025)

Pan-Xu conjecture and reduction formulas for polylogarithms
by: Genčev, Marian
Published: (2024)

Multiple standard twists of $L$-functions
by: Kaczorowski, Jerzy, et al.
Published: (2026)

Multiple zeta values and Euler's reflection formula for the gamma function
by: Ikeda, Karin, et al.
Published: (2023)

Some Remarks on Maesaka-Seki-Watanabe's Formula for the Multiple Harmonic Sums
by: Yamamoto, Shuji
Published: (2024)

Finite Multiple Mixed Values
by: Zhao, Jianqiang
Published: (2024)

Asymptotic expansions of integrals and Nielsen's polylogarithms
by: Kuba, Markus, et al.
Published: (2026)

On a proof of Xu's Conjecture and depths of Galois descents
by: Charlton, Steven
Published: (2025)

On a t-stuffle product formula for interpolated multiple zeta values
by: Sarkar, Pitu, et al.
Published: (2024)

Meromorphic continuation of a q-analogue of multiple zeta function
by: Tamang, Nita, et al.
Published: (2026)

Deriving two dualities simultaneously from a family of identities for multiple harmonic sums
by: Maesaka, Takumi, et al.
Published: (2024)

Shuffle product for multiple zeta functions
by: Komiyama, Nao, et al.
Published: (2025)

On the mean values of the Barnes multiple zeta function
by: Miyagawa, Takashi, et al.
Published: (2025)

Diamond lift of Hirose--Sato's formula involving the Hoffman basis
by: Seki, Shin-ichiro
Published: (2025)

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones
by: Hirose, Minoru, et al.
Published: (2025)

$t$-adic symmetric multiple zeta values for indices with alternating $1$ and $3$, starting with $1$ and ending with $3$
by: Fujita, Kento
Published: (2025)

Generalized Euler decomposition formula for interpolated multiple zeta values
by: Sarkar, Pitu, et al.
Published: (2026)

Iterated beta integrals
by: Hirose, Minoru, et al.
Published: (2026)

Discrete iterated integrals and cyclic sum formulas
by: Kawamura, Hanamichi
Published: (2024)

A proof of the extended double shuffle relation without using integrals
by: Seki, Shin-ichiro
Published: (2024)

Cyclic sum formula for certain parametrized multiple zeta values
by: Kawamura, Hanamichi, et al.
Published: (2024)

On the evaluations of multiple $S$ and $T$ values of the form $S(\overset{{}_{(-)}}{2}, 1, \ldots, 1, \overset{{}_{(-)}}{1})$ and $T(\overset{{}_{(-)}}{2}, 1, \ldots, 1, \overset{{}_{(-)}}{1})$
by: Charlton, Steven
Published: (2024)

A unified proof of conjectures on the spaces of multiple $q$-zeta values
by: Hirose, Minoru, et al.
Published: (2026)

On alternating sum formulas for the Arakawa-Kaneko multiple zeta values
by: Nishimura, Yuta
Published: (2024)

An explicit parity theorem for multiple zeta values via multitangent functions
by: Hirose, Minoru
Published: (2024)

First moment of quadratic Dirichlet $L$-functions with secondary terms
by: Čech, Martin
Published: (2025)

Values at non-positive integers of partially twisted multiple zeta-functions II
by: Essouabri, Driss, et al.
Published: (2025)

Contour Integrations and Parity Results of Hurwitz-type Cyclotomic Euler Sums
by: Rui, Hongyuan
Published: (2025)

Residue Theorem, Regularization and Parity Theorem
by: Li, Jia, et al.
Published: (2026)

Twisted first moment of central values of primitive quadratic Dirichlet $L$-functions
by: Gao, Peng, et al.
Published: (2024)

Regularized double shuffle relations of $μ$-multiple Hurwitz zeta values
by: Li, Jia, et al.
Published: (2024)

Triple Correlation Sums of Coefficients of Cusp Forms
by: Hulse, Thomas A., et al.
Published: (2019)