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.
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页码：1 / 18
页数：18
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