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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

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

Rights: Copyright © 2020 Mathematical Society of Japan

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