One level density of low-lying zeros of quadratic Hecke L-functions to prime moduli

Peng Gao; Liangyi Zhao

doi:10.46298/hrj.2021.7461

One level density of low-lying zeros of quadratic Hecke L-functions to prime moduli

Peng Gao
, Liangyi Zhao

数学科学学院

University of New South Wales

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	173-187
页数	15
期刊	Hardy-Ramanujan Journal
卷	43
DOI	https://doi.org/10.46298/hrj.2021.7461
出版状态	已出版 - 2020

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abstract = "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.",

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AU - Gao, Peng

AU - Zhao, Liangyi

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N2 - 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.

AB - 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.

KW - low-lying zeros

KW - one level density

KW - quadratic Hecke L-function

UR - https://www.scopus.com/pages/publications/85120768674

U2 - 10.46298/hrj.2021.7461

DO - 10.46298/hrj.2021.7461

M3 - 文章

AN - SCOPUS:85120768674

SN - 2804-7370

VL - 43

SP - 173

EP - 187

JO - Hardy-Ramanujan Journal

JF - Hardy-Ramanujan Journal

ER -

One level density of low-lying zeros of quadratic Hecke L-functions to prime moduli

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