Asymptotic behavior of the Hurwitz-Lerch multiple zeta function at non-positive integer points
Number Theory
2021-12-03 v2
Abstract
We give a result on the asymptotic behavior of the Hurwitz-Lerch multiple zeta functions near non-positive integer points by using the Apostol-Bernoulli polynomials. From this result, we can evaluate limit values at non-positive integer points.
Keywords
Cite
@article{arxiv.2111.06072,
title = {Asymptotic behavior of the Hurwitz-Lerch multiple zeta function at non-positive integer points},
author = {Hideki Murahara and Tomokazu Onozuka},
journal= {arXiv preprint arXiv:2111.06072},
year = {2021}
}