One level density of low-lying zeros of families of L-functions

被引：11

作者：

Gao, Peng ^{[1
]}

Zhao, Liangyi ^{[1
]}

机构：

[1] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore

来源：

COMPOSITIO MATHEMATICA | 2011年 / 147卷 / 01期

关键词：

one level density; low-lying zeros; Hecke eigenforms; quadratic Dirichlet characters; cubic Dirichlet characters; quartic Dirichlet characters;

D O I：

10.1112/S0010437X10004914

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove some one level density results for the low-lying zeros of families of L-functions. More specifically, the families under consideration are that of L-functions of holomorphic Hecke eigenforms of level 1 and weight k twisted with quadratic Dirichlet characters and that of cubic and quartic Dirichlet L-functions.

引用

页码：1 / 18

页数：18

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