Large values of logarithmic derivatives of quadratic Dirichlet $L$-functions
Number Theory
2026-03-24 v1
Abstract
In this article, we apply the resonance method to derive conditional Omega results for logarithmic derivatives of quadratic Dirichlet -functions. We improve a previous result of Mortada and Murty \cite{MM13}, as well as generalize some results of Yang \cite{yang2023omegatheoremslogarithmicderivatives}.
Keywords
Cite
@article{arxiv.2603.21256,
title = {Large values of logarithmic derivatives of quadratic Dirichlet $L$-functions},
author = {Zikang Dong and Haidong Li},
journal= {arXiv preprint arXiv:2603.21256},
year = {2026}
}
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12 pages