Real zeros of the Hurwitz zeta function
Number Theory
2017-10-03 v2
Abstract
It is well known that real zeros of the Riemann zeta function are negative even integers. As for real zeros of the Hurwitz zeta function, T. Nakamura recently gave an existence condition in the intervals (0,1) and (-1,0). We generalize this result for all negative real numbers.
Keywords
Cite
@article{arxiv.1610.07945,
title = {Real zeros of the Hurwitz zeta function},
author = {Toshiki Matsusaka},
journal= {arXiv preprint arXiv:1610.07945},
year = {2017}
}
Comments
11 pages