Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Laurin?cikas A. P., Macaitiene R. .., Mokhov D. .., Siauciunas D. On Universality of Certain Zeta-functions. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, vol. 13, iss. 4, pp. 67-72. DOI: 10.18500/1816-9791-2013-13-4-67-72

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
25.11.2013
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511.3

On Universality of Certain Zeta-functions

Autors: 
Laurin?cikas Antanas P., Vilnius University, Vilnius, Lithuania
Macaitiene Renata ., Šiauliai University, Šiauliai, Lithuania
Mokhov Dmitry ., Vilnius University, Vilnius, Lithuania
Siauciunas Darius, Šiauliai University, Šiauliai, Lithuania
Abstract: 

It is well known that a generalization of the Hurwitz zeta-function—the periodic Hurwitz zeta-function with transcendental parameter is universal in the sense that its shifts approximate any analytic function. In the paper, the transcendence condition is replaced by a simpler one on the linear independence of a certain set.

References: 
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