SOME REMARKS ON THE DIFFERENCES BETWEEN ORDINATES OF CONSECUTIVE ZETA ZEROS

被引：0

作者：

Ivic, Aleksandar ^{[1
]}

机构：

[1] Univ Beogradu, Katedra Matemat RGF A, Dusina 7, Beograd 11000, Serbia

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2018年 / 58卷 / 01期

关键词：

Riemann zeta-function; consecutive zeta-zeros; large differences; Riemann hypothesis;

D O I：

10.7169/facm/1633

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If 0 < gamma(1) <= gamma 2 <= gamma 3 ... denote ordinates of complex zeros of the Riemann zeta-function zeta(s), then several results involving the maximal order of gamma(n+1) - gamma(n) and the sum Sigma(0<gamma n <= T) (gamma(n+1) - gamma(n))(k) (k > 0) are proved.

引用

页码：23 / 35

页数：13

共 50 条

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