On values of zeta functions of Arakawa-Kaneko type
Number Theory
2020-03-11 v1
Abstract
For these two decades, the Arakawa-Kaneko zeta function has been studied actively. Recently Kaneko and Tsumura constructed its variants from the viewpoint of poly-Bernoulli numbers. In this paper, we generalize their zeta functions of Arakawa-Kaneko type to those with indices in which positive and negative integers are mixed. We show that values of these functions at positive integers can be expressed in terms of the multiple Hurwitz zeta star values.
Keywords
Cite
@article{arxiv.2003.04634,
title = {On values of zeta functions of Arakawa-Kaneko type},
author = {Tomoko Hoshi},
journal= {arXiv preprint arXiv:2003.04634},
year = {2020}
}
Comments
20 pages