Explicit zero density theorems for Dedekind zeta functions
Number Theory
2012-01-20 v1
Abstract
This article studies the zeros of Dedekind zeta functions. In particular, we establish a smooth explicit formula for these zeros and we derive an effective version of the Deuring-Heilbronn phenomenon. In addition, we obtain an explicit bound for the number of zeros in a box.
Cite
@article{arxiv.1201.3932,
title = {Explicit zero density theorems for Dedekind zeta functions},
author = {Habiba Kadiri and Nathan Ng},
journal= {arXiv preprint arXiv:1201.3932},
year = {2012}
}
Comments
24 pages