On the Montgomery-Odlyzko method regarding gaps between zeros of the zeta-function

被引：0

作者：

Goldston, Daniel A. ^{[1
]}

Trudgian, Timothy S. ^{[2
]}

Turnage-Butterbaugh, Caroline L. ^{[3
]}

机构：

[1] San Jose State Univ, San Jose, CA USA

[2] Univ New South Wales Canberra, Canberra, ACT, Australia

[3] Carleton Coll, Northfield, MN 55057 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 527卷 / 02期

关键词：

Riemann zeta-function; Vertical distribution of zeros;

D O I：

10.1016/j.jmaa.2023.127548

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Assuming the Riemann Hypothesis, it is known that there are infinitely many consecutive pairs of zeros of the Riemann zeta-function within 0.515396 times the average spacing. This is obtained using the method of Montgomery and Odlyzko. We prove that this method can never find infinitely many pairs of consecutive zeros within 0.5042 times the average spacing.& COPY; 2023 Elsevier Inc. All rights reserved.

引用

页数：7

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