| Hardy-Ramanujan Journal |
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
-
https://doi.org/10.46298/hrj.2021.7461One level density of low-lying zeros of quadratic Hecke L-functions to prime moduliArticle
Authors: Peng Gao 
1; Liangyi Zhao
1; 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.
Source: HAL:hal-03208534v1
Volume: Volume 43 - Special Commemorative volume in honour of Srinivasa Ramanujan - 2020
Published on: May 6, 2021
Accepted on: May 6, 2021
Submitted on: May 5, 2021
Keywords: low-lying zeros,one level density,quadratic Hecke L-function,2010 Mathematics Subject Classification. 11M06, 11M26, 11M50,[MATH]Mathematics [math]
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