Critical zeros of Dirichlet L-functions

被引：16

作者：

Conrey, J. Brian ^{[1
,2
]}

Iwaniec, Henryk ^{[3
]}

Soundararajan, Kannan ^{[4
]}

机构：

[1] Amer Inst Math, Palo Alto, CA 94306 USA

[2] Univ Bristol, Dept Math, Bristol BS8 1SN, Avon, England

[3] Rutgers State Univ, Dept Math, Piscataway, NJ 08903 USA

[4] Stanford Univ, Dept Math, Stanford, CA 94305 USA

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2013年 / 681卷

基金：

美国国家科学基金会;

关键词：

ZETA-FUNCTION; CRITICAL LINE;

D O I：

10.1515/crelle-2012-0032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use the Asymptotic Large Sieve and Levinson's method to obtain lower bounds for the proportion of simple zeros on the critical line of the twists by primitive Dirichlet characters of a fixed L-function of degree 1, 2, or 3.

引用

页码：175 / 198

页数：24

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