A remark on density theorems for Riemann's zeta-function
Number Theory
2023-10-10 v1
Abstract
The goal of this paper is to give a relatively simple proof of some known zero density estimates for Riemann zeta function which are sufficiently strong to break the density hypothesis in a nontrivial part of the critical strip. Apart from a simple but ingenious idea of Halasz the proof uses only classical knowledge about the zeta function, results known since at least hundred years.
Cite
@article{arxiv.2310.04544,
title = {A remark on density theorems for Riemann's zeta-function},
author = {Janos Pintz},
journal= {arXiv preprint arXiv:2310.04544},
year = {2023}
}
Comments
The paper is accepted for publication in SCIENCE CHINA Mathematics