New developments toward the Gonek Conjecture on the Hurwitz zeta-function
Number Theory
2024-10-16 v3
Abstract
In this paper, we prove a version of the universality theorem for the Hurwitz zeta-function in the case where the parameter is algebraic and irrational. Then we apply the result to show that many of such Hurwitz zeta-functions have infinitely many zeros in the right half of the critical strip.
Cite
@article{arxiv.2305.01262,
title = {New developments toward the Gonek Conjecture on the Hurwitz zeta-function},
author = {Masahiro Mine},
journal= {arXiv preprint arXiv:2305.01262},
year = {2024}
}
Comments
41 pages