2020/05/31 by Peng Gao, Liangyi Zhao · 1 citation
Mathematics · #math.NT
published as Hardy-Ramanujan J., Vol. 43, 2020, pp. 173--187 · 11 pages
arxiv created 2021/04/28 · arxiv updated 2021/04/29
In this paper, we study the one level density of low-lying zeros of a family of quadratic Hecke L-functions to prime moduli over the Gaussian field under the generalized Riemann hypothesis (GRH) and the ratios conjecture. As a corollary, we deduce that at least 75 % of the members of this family do not vanish at the central point under GRH.