MEAN VALUES OF ζ'/ζ(s), CORRELATIONS OF ZEROS AND THE DISTRIBUTION OF ALMOST PRIMES

被引：9

作者：

Farmer, D. W. ^{[1
]}

Gonek, S. M. ^{[2
]}

Lee, Y. ^{[2
]}

Lester, S. J. ^{[2
]}

机构：

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

[2] Univ Rochester, Dept Math, Rochester, NY 14627 USA

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2013年 / 64卷 / 04期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1093/qmath/has035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish relationships between mean values of products of logarithmic derivatives of the Riemann zeta-function near the critical line, correlations of the zeros of the Riemann zeta-function and the distribution of integers representable as a product of a fixed number of prime powers.

引用

页码：1057 / 1089

页数：33

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