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VOL. 84 | 2020 Zeta functions connecting multiple zeta values and poly-Bernoulli numbers
Masanobu Kaneko, Hirofumi Tsumura

Editor(s) Hidehiko Mishou, Takashi Nakamura, Masatoshi Suzuki, Yumiko Umegaki

Adv. Stud. Pure Math., 2020: 181-204 (2020) DOI: 10.2969/aspm/08410181

Abstract

We first review our previous works of Arakawa and the authors on two closely related single-variable zeta functions. Their special values at positive and negative integer arguments are respectively multiple zeta values and poly-Bernoulli numbers. We then introduce, as a generalization of Sasaki's work, level 2-analogue of one of the two zeta functions and prove results analogous to those by Arakawa and the first named author.

Information

Published: 1 January 2020
First available in Project Euclid: 27 May 2020

zbMATH: 07283186

Digital Object Identifier: 10.2969/aspm/08410181

Subjects:
Primary: 11B68
Secondary: 11M32 , 11M99

Keywords: multiple zeta function , multiple zeta value , Poly-Bernoulli number , polylogarithm

Rights: Copyright © 2020 Mathematical Society of Japan

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