On the zeros of generalized Hurwitz zeta functions
Number Theory
2014-08-01 v1
Abstract
In this note, we prove the existence of infinitely many zeros of certain generalized Hurwitz zeta functions in the domain of absolute convergence. This is a generalization of a classical problem of Davenport, Heilbronn and Cassels about the zeros of the Hurwitz zeta function.
Keywords
Cite
@article{arxiv.1407.8319,
title = {On the zeros of generalized Hurwitz zeta functions},
author = {Tapas Chatterjee and Sanoli Gun},
journal= {arXiv preprint arXiv:1407.8319},
year = {2014}
}
Comments
To appear in Journal of Number Theory