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Joint universality of zeta-functions with periodic coefficients

A. Laurinčikas

Vilnius University

Abstract: We obtain a joint universality theorem of Voronin type for a set of functions consisting of periodic zeta-functions and periodic Hurwitz zeta-functions with algebraically independent parameters.

Keywords: periodic zeta-function, periodic Hurwitz zeta-function, limit theorem, joint universality.

UDC: 511

MSC: 11M35

Received: 15.02.2008
Revised: 06.08.2008

DOI: 10.4213/im2771

 English version: Izvestiya: Mathematics, 2010, 74:3, 515–539

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