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Original Articles

On Discrete Universality of Composite Functions

Pages 271-280 | Received 26 Sep 2011, Accepted 22 Jan 2012, Published online: 07 Mar 2012
 

Abstract

In 1975, S.M. Voronin proved that the Riemann zeta-function ζ (s) is universal in the sense that its shifts approximate uniformly on some sets any analytic function. Let h be a fixed positive number such that exp is irrational for all . In the paper, the classes of functions F such that the shifts F (ζ (s + imh)), , approximate any analytic function are presented. For the proof of theorems, some elements of the space of analytic functions are applied.

AMS Subject Classification:

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