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arXiv · 2310.04544

A remark on density theorems for Riemann's zeta-function

Janos Pintz
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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.

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Janos Pintz. 2023-09-30. A remark on density theorems for Riemann's zeta-function. https://arxiv.org/abs/2310.04544

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