Cover Image

Explicit formulas of the relation between multiple zeta functions of Arakawa-Kaneko and Euler-Zagier types

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Kawasaki, Naho
Format:	Preprint
Published:	2025
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

New Proofs of the Explicit Formulas of Arakawa--Kaneko Zeta Values and Kaneko--Tsumura $η$- and $ψ$- Values
by: Kaneko, Masanobu, et al.
Published: (2025)

Another proofs of Zagier's formula for multiple zeta values and Murakami's formula for multiple $t$-values
by: Yu, Jinmin, et al.
Published: (2026)

Explicit formulas for Euler's totient function and the number of divisors
by: Pain, Jean-Christophe
Published: (2025)

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

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

Explicit formulas related to Euler's product expansion for cosine function
by: Kim, Taekyun, et al.
Published: (2024)

An anticyclotomic Euler system of Hirzebruch--Zagier cycles I: Norm relations and $p$-adic interpolation
by: Alonso, Raúl, et al.
Published: (2025)

On the refined Herglotz-Zagier function
by: Huang, Ziyi
Published: (2024)

On a certain identity for the cotangent zeta finite Dirichlet series and its application to the Berndt--Arakawa formula
by: Furusawa, Masaaki, et al.
Published: (2024)

New determinant formulas of Giambelli-type for Schur multiple zeta-functions and their applications
by: Matsumoto, Kohji, et al.
Published: (2025)

Mordell-Tornheim zeta functions and functional equations for Herglotz-Zagier type functions
by: Dixit, Atul, et al.
Published: (2024)

A higher Gross-Zagier formula and the structure of Selmer groups
by: Kim, Chan-Ho
Published: (2022)

Motivic correlators, cluster varieties and Zagier's conjecture on zeta(F,4)
by: Goncharov, Alexander B., et al.
Published: (2018)

Interpolant of truncated multiple zeta functions
by: Ihara, Kentaro, et al.
Published: (2024)

The Gross-Zagier formula on singular moduli for Shimura curves
by: Phillips, Andrew
Published: (2025)

A relation to a remainder terms in an asymptotic formula for the associated Euler totient function
by: Iwata, Hideto
Published: (2025)

A simple inequality relating the Euler-Riemann zeta function, digamma, and cotangent over the unit interval
by: Henry, Michael Andrew
Published: (2026)

Moments of derivatives of the Riemann zeta function: Characteristic polynomials and the hybrid formula
by: Hughes, Christopher, et al.
Published: (2024)

Schur multiple zeta-functions of Hurwitz type
by: Matsumoto, Kohji, et al.
Published: (2025)

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

A functional equation for multiple zeta functions and generalized confluent hypergeometric functions
by: Yokoi, Anju
Published: (2025)

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

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

The Pieri formulas and the Littlewood-Richardson rule for Schur multiple zeta functions
by: Nakaoka, Shutaro
Published: (2023)

The universal $p$-adic Gross-Zagier formula
by: Disegni, Daniel
Published: (2019)

An interpolation of the generalized duality formula for the Schur multiple zeta values to complex functions
by: Nakasuji, Maki, et al.
Published: (2022)

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

Cyclotomic symmetric multiple zeta values span the space of cyclotomic multiple zeta values
by: Anzawa, Takumi
Published: (2024)

Explicit estimates for the Riemann zeta function close to the $1$-line
by: Cully-Hugill, Michaela, et al.
Published: (2023)

Explicit estimates for the logarithmic derivative and the reciprocal of the Riemann zeta function
by: Leong, Nicol
Published: (2024)

On the Arakawa lifting Part I: Eichler commutation relations
by: Murase, Atsushi, et al.
Published: (2024)

Stirling polynomials and multiple zeta (star) functions at non-positive integers
by: Ishii, Yoni, et al.
Published: (2025)

A family of integrals related to values of the Riemann zeta function
by: Kumar, Rahul, et al.
Published: (2024)

Mordell--Tornheim zeta function: Kronecker limit type formulas and Special values
by: Sathyanarayana, Sumukha, et al.
Published: (2025)

Sums related to Euler's totient function
by: Radomskii, Artyom
Published: (2024)

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

Isomorphism between Hopf algebras for multiple zeta values
by: Guo, Li, et al.
Published: (2025)

On a Conjecture of Yui and Zagier II
by: Li, Yingkun, et al.
Published: (2025)

On the relation between quantum walks and absolute zeta functions
by: Konno, Norio
Published: (2023)