Large values of logarithmic derivatives of quadratic Dirichlet $L$-functions

Fuente: arXiv
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Autori principali: Dong, Zikang, Li, Haidong
Natura: Preprint
Pubblicazione: 2026
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author Dong, Zikang
Li, Haidong
author_facet Dong, Zikang
Li, Haidong
contents In this article, we apply the resonance method to derive conditional Omega results for logarithmic derivatives of quadratic Dirichlet $L$-functions. We improve a previous result of Mortada and Murty \cite{MM13}, as well as generalize some results of Yang \cite{yang2023omegatheoremslogarithmicderivatives}.
format Preprint
id arxiv_https___arxiv_org_abs_2603_21256
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Large values of logarithmic derivatives of quadratic Dirichlet $L$-functions
Dong, Zikang
Li, Haidong
Number Theory
In this article, we apply the resonance method to derive conditional Omega results for logarithmic derivatives of quadratic Dirichlet $L$-functions. We improve a previous result of Mortada and Murty \cite{MM13}, as well as generalize some results of Yang \cite{yang2023omegatheoremslogarithmicderivatives}.
title Large values of logarithmic derivatives of quadratic Dirichlet $L$-functions
topic Number Theory
url https://arxiv.org/abs/2603.21256