A universality theorem for the Riemann zeta-function with respect to Beatty sets

被引：0

作者：

Athanasios Sourmelidis

机构：

[1] Würzburg University,Institute of Mathematics

来源：

Lithuanian Mathematical Journal | 2020年 / 60卷

关键词：

Riemann zeta-function; Beatty sequences; uniform distribution; universality; 11M06;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove that, for given positive numbers α and h, the Riemann zeta-function ζ can approximate any nonvanishing analytic function on a simply connected compact subset of the right open half of the critical strip by shifts of type ζ(s + ih⌊αn⌋).

引用

页码：92 / 106

页数：14

共 6 条

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