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Distribution modulo 1 and the discrete universality of the Riemann zeta-function

Distribution modulo 1 and the discrete universality of the Riemann zeta-function In this paper, we obtain some new discrete universality theorems on the approximation of analytic functions by shifts of the Riemann zeta-function. The novelty in formulation is that it involves shifts not by an arithmetical progression as before but by a more general sequence that is uniformly distributed modulo 1. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Springer Journals

Distribution modulo 1 and the discrete universality of the Riemann zeta-function

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References (8)

Publisher
Springer Journals
Copyright
Copyright © 2016 by Mathematisches Seminar der Universität Hamburg and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Mathematics, general; Algebra; Differential Geometry; Number Theory; Topology; Geometry
ISSN
0025-5858
eISSN
1865-8784
DOI
10.1007/s12188-016-0123-8
Publisher site
See Article on Publisher Site

Abstract

In this paper, we obtain some new discrete universality theorems on the approximation of analytic functions by shifts of the Riemann zeta-function. The novelty in formulation is that it involves shifts not by an arithmetical progression as before but by a more general sequence that is uniformly distributed modulo 1.

Journal

Abhandlungen aus dem Mathematischen Seminar der Universität HamburgSpringer Journals

Published: Feb 12, 2016

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