ON THE NON-VANISHING OF DIRICHLET L-FUNCTIONS AT THE CENTRAL POINT

被引：0

作者：

Fiorilli, Daniel ^{[1
]}

机构：

[1] Univ Ottawa, Dept Math & Stat, Ottawa, ON K1N 6N5, Canada

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2015年 / 66卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

EQUI-DISTRIBUTION; PRIMES; DERIVATIVES; LIMITATIONS; NUMBER; ZEROS;

D O I：

10.1093/qmath/hau038

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the consequences of natural conjectures of Montgomery type on the non-vanishing of Dirichlet L-functions at the central point. We first justify these conjectures using probabilistic arguments. We then show using a result of Bombieri, Friedlander and Iwaniec, and a result of the author that they imply that almost all Dirichlet L-functions do not vanish at the central point. We also deduce a quantitative upper bound for the proportion of Dirichlet L-functions for which L(1/2, chi) = 0.

引用

页码：517 / 528

页数：12

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