Peng Gao ; Liangyi Zhao
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One level density of low-lying zeros of quadratic Hecke L-functions to prime moduli
hrj:7461 -
Hardy-Ramanujan Journal,
May 6, 2021,
Volume 43 - Special Commemorative volume in honour of Srinivasa Ramanujan - 2020
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https://doi.org/10.46298/hrj.2021.7461
One level density of low-lying zeros of quadratic Hecke L-functions to prime moduli
Authors: Peng Gao ; Liangyi Zhao
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Peng Gao;Liangyi Zhao
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.