Zeros of Dedekind zeta functions under GRH
Number Theory
2019-05-28 v3
Abstract
Assuming GRH, we prove an explicit upper bound for the number of zeros of a Dedekind zeta function having imaginary part in . We also prove a bound for the multiplicity of the zeros.
Keywords
Cite
@article{arxiv.1407.1375,
title = {Zeros of Dedekind zeta functions under GRH},
author = {Loïc Grenié and Giuseppe Molteni},
journal= {arXiv preprint arXiv:1407.1375},
year = {2019}
}
Comments
Some misprints corrected, simplified proof for a lemma. This version will appear in Mathematics of Computation