Omega theorems for logarithmic derivatives of zeta and $L$-functions
Number Theory
2023-12-27 v2
Abstract
We establish several new -theorems for logarithmic derivatives of the Riemann zeta function and Dirichlet -functions. In particular, this improves on earlier work of Landau (1911), Bohr-Landau (1913), and recent work of Lamzouri.
Keywords
Cite
@article{arxiv.2311.16371,
title = {Omega theorems for logarithmic derivatives of zeta and $L$-functions},
author = {Daodao Yang},
journal= {arXiv preprint arXiv:2311.16371},
year = {2023}
}
Comments
Version 2: 24 pages. New results (Theorem 1.7, 1.8) added; new conjectures and problems added in the final section