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).
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页码：403 / 423
页数：21
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