Zeta functions connecting multiple zeta values and poly-Bernoulli numbers
Number Theory
2018-11-20 v1
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.
Cite
@article{arxiv.1811.07736,
title = {Zeta functions connecting multiple zeta values and poly-Bernoulli numbers},
author = {Masanobu Kaneko and Hirofumi Tsumura},
journal= {arXiv preprint arXiv:1811.07736},
year = {2018}
}
Comments
19 pages