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arXiv · 2603.21256

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

Zikang Dong·Haidong Li
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Abstract

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}.

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Zikang Dong, Haidong Li. 2026-03-22. Large values of logarithmic derivatives of quadratic Dirichlet $L$-functions. https://arxiv.org/abs/2603.21256

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