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JOINT UNIVERSALITY OF HURWITZ ZETA-FUNCTIONS

Part of: Zeta and $L$-functions: analytic theory

Published online by Cambridge University Press:  09 July 2012

ANTANAS LAURINČIKAS
ANTANAS LAURINČIKAS*
Affiliation:
Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania (email: antanas.laurincikas@mif.vu.lt)
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Abstract

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It is well known that Hurwitz zeta-functions with algebraically independent parameters over the field of rational numbers are universal in the sense that their shifts approximate simultaneously any collection of analytic functions. In this paper we introduce some classes of universal composite functions of a collection of Hurwitz zeta-functions.

Keywords

limit theoremspace of analytic functionsHurwitz zeta-functionuniversality

MSC classification

Secondary: 11M41: Other Dirichlet series and zeta functions
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 86 , Issue 2 , October 2012 , pp. 232 - 243
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2012

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