GAPS BETWEEN ZEROS OF THE RIEMANN ZETA-FUNCTION

被引：11

作者：

Bui, H. M. ^{[1
]}

Milinovich, M. B. ^{[2
]}

机构：

[1] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

[2] Univ Mississippi, Dept Math, University, MS 38677 USA

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2018年 / 69卷 / 02期

关键词：

CONSECUTIVE ZEROS; CRITICAL LINE;

D O I：

10.1093/qmath/hax047

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that there exist infinitely many consecutive zeros of the Riemann zeta-function on the critical line whose gaps are greater than 3.18 times the average spacing. Using a modification of our method, we also show that there are even larger gaps between the multiple zeros of the Riemann zeta-function on the critical line (if such zeros exist).

引用

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页码：403 / 423

页数：21

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