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On discrete universality of composite functions

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.

Keyword : Riemann zeta-function, support of a measure, space of analytic functions, universality

How to Cite
Rašytė, J. (2012). On discrete universality of composite functions. Mathematical Modelling and Analysis, 17(2), 271-280. https://doi.org/10.3846/13926292.2012.662705
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Apr 1, 2012
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