| Title |
On discrete universality of composite functions / |
| Authors |
Rašytė, Jovita |
| DOI |
10.3846/13926292.2012.662705 |
| Full Text |
|
| Is Part of |
Mathematical modelling and analysis = Matematinis modeliavimas ir analizė / Vilnius Gediminas Technical University, Institute of Mathematics and Informatics.. Vilnius : Technika. 2012, vol. 17, no. 2, p. 271-280.. ISSN 1392-6292 |
| Keywords [eng] |
Riemann zeta-function ; Support of a measure ; Space of analytic functions ; Universality |
| Abstract [eng] |
In 1975, S.M. Voronin proved that the Riemann zeta-function zeta(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{2 pi k/h} is irrational for all k is an element of Z\{0}. In the paper, the classes of functions F such that the shifts F(zeta(s+imh)), m is an element of N boolean OR {0}, approximate any analytic function are presented. For the proof of theorems, some elements of the space of analytic functions are applied. |
| Published |
Vilnius : Technika |
| Type |
Journal article |
| Language |
English |
| Publication date |
2012 |
