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arXiv · 2206.02302

One-level density of quadratic twists of $L$-functions

Peng Gao·Liangyi Zhao
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Abstract

In this paper, we investigate the one-level density of low-lying zeros of quadratic twists of automorphic $L$-functions under the generalized Riemann hypothesis and the Ramanujan-Petersson conjecture. We improve upon the known results using only functional equations for quadratic Dirichlet $L$-functions.

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Peng Gao, Liangyi Zhao. 2022-06-06. One-level density of quadratic twists of $L$-functions. https://doi.org/10.4064/aa220613-13-12

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