One-level density of quadratic twists of $L$-functions
Number Theory
2023-04-20 v2
Abstract
In this paper, we investigate the one-level density of low-lying zeros of quadratic twists of automorphic -functions under the generalized Riemann hypothesis and the Ramanujan-Petersson conjecture. We improve upon the known results using only functional equations for quadratic Dirichlet -functions.
Keywords
Cite
@article{arxiv.2206.02302,
title = {One-level density of quadratic twists of $L$-functions},
author = {Peng Gao and Liangyi Zhao},
journal= {arXiv preprint arXiv:2206.02302},
year = {2023}
}
Comments
9 pages