Moments and one level density of certain unitary families of hecke l-functions

Peng Gao; Liangyi Zhao

doi:10.5802/JTNB.1149

Moments and one level density of certain unitary families of hecke l-functions

Peng Gao
, Liangyi Zhao

School of Mathematical Sciences

University of New South Wales

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we study the moments of central values of certain unitary families of Hecke L-functions of the Gaussian field, and establish quantitative non-vanishing result for their central values. We also establish a one level density result for the low-lying zeros of these families of Hecke L-functions.

Original language	English
Pages (from-to)	1-16
Number of pages	16
Journal	Journal de Theorie des Nombres de Bordeaux
Volume	33
Issue number	1
DOIs	https://doi.org/10.5802/JTNB.1149
State	Published - 2021

Keywords

Hecke L-functions
Hecke characters

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10.5802/JTNB.1149

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title = "Moments and one level density of certain unitary families of hecke l-functions",

abstract = "In this paper, we study the moments of central values of certain unitary families of Hecke L-functions of the Gaussian field, and establish quantitative non-vanishing result for their central values. We also establish a one level density result for the low-lying zeros of these families of Hecke L-functions.",

keywords = "Hecke L-functions, Hecke characters",

author = "Peng Gao and Liangyi Zhao",

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AU - Zhao, Liangyi

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AB - In this paper, we study the moments of central values of certain unitary families of Hecke L-functions of the Gaussian field, and establish quantitative non-vanishing result for their central values. We also establish a one level density result for the low-lying zeros of these families of Hecke L-functions.

KW - Hecke L-functions

KW - Hecke characters

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DO - 10.5802/JTNB.1149

M3 - 文章

AN - SCOPUS:85107631239

SN - 1246-7405

VL - 33

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JO - Journal de Theorie des Nombres de Bordeaux

JF - Journal de Theorie des Nombres de Bordeaux

IS - 1

ER -

Moments and one level density of certain unitary families of hecke l-functions

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Keywords

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