On gaps between zeros of the Riemann zeta-function

被引：17

作者：

Feng, Shaoji ^{[1
]}

Wu, Xiaosheng ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

来源：

JOURNAL OF NUMBER THEORY | 2012年 / 132卷 / 07期

关键词：

Riemann zeta-function; Gaps; CONSECUTIVE ZEROS;

D O I：

10.1016/j.jnt.2011.12.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Assuming the Riemann Hypothesis, we show that infinitely often consecutive non-trivial zeros of the Riemann zeta-function differ by at least 2.7327 times the average spacing and infinitely often they differ by at most 0.5154 times the average spacing. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1385 / 1397

页数：13

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