A short proof of Levinson's theorem

被引：15

作者：

Young, Matthew P. ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

ARCHIV DER MATHEMATIK | 2010年 / 95卷 / 06期

基金：

美国国家科学基金会;

关键词：

Riemann zeta function; Critical line; Zeros; Levinson; Mollifier; Moment; Mean value; ZETA-FUNCTION; ZEROS;

D O I：

10.1007/s00013-010-0199-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a short proof of Levinson's result that over 1/3 of the zeros of the Riemann zeta function are on the critical line.

引用

页码：539 / 548

页数：10

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