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

Athanasios Sourmelidis

doi:10.1007/s10986-019-09457-6

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

Athanasios Sourmelidis^*

^*Corresponding author for this work

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article › peer-review

Abstract

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⌋).

Original language	English
Pages (from-to)	92-106
Number of pages	15
Journal	Lithuanian Mathematical Journal
Volume	60
Issue number	1
DOIs	https://doi.org/10.1007/s10986-019-09457-6
Publication status	Published - 1 Jan 2020

Keywords

Beatty sequences
Riemann zeta-function
uniform distribution
universality

ASJC Scopus subject areas

General Mathematics

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10.1007/s10986-019-09457-6

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abstract = "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⌋).",

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AB - 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⌋).

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KW - universality

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JO - Lithuanian Mathematical Journal

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

Abstract

Keywords

ASJC Scopus subject areas

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