On the lowest zero of Dedekind zeta function
Number Theory
2025-07-29 v1
Abstract
Let denote the Dedekind zeta-function associated to a number field . In this paper, we give an effective upper bound for the height of first non-trivial zero other than of under the generalized Riemann hypothesis. This is a refinement of the earlier bound obtained by Omar Sami.
Keywords
Cite
@article{arxiv.2401.10936,
title = {On the lowest zero of Dedekind zeta function},
author = {Sushant Kala},
journal= {arXiv preprint arXiv:2401.10936},
year = {2025}
}