New zero-free regions for Dedekind zeta-functions at small and large ordinates
Number Theory
2025-06-25 v1
Abstract
Given a number field , we obtain new and explicit zero-free regions for Dedekind zeta-functions of , which refine the previous works of Ahn--Kwon, Kadiri, and Lee. In particular, for low-lying zeros, we extend Kadiri's result to all number fields while improving the main constant.
Cite
@article{arxiv.2506.19319,
title = {New zero-free regions for Dedekind zeta-functions at small and large ordinates},
author = {Sourabhashis Das and Swati Gaba and Ethan Simpson Lee and Aditi Savalia and Peng-Jie Wong},
journal= {arXiv preprint arXiv:2506.19319},
year = {2025}
}