A. P. Laurincikas, R. Macaitiené, “On the Joint Universality of Periodic Zeta Functions”, Mat. Zametki, 2009, Volume 85, Issue 1,Pages <nobr>54

This article is cited in 11 papers

On the Joint Universality of Periodic Zeta Functions

A. P. Laurincikas^a, R. Macaitiené^b

^a Vilnius University
^b Siauliai University

Abstract: In this paper, we obtain the joint universality (in the sense of Voronin) of Dirichlet series with periodic multiplicative coefficients. The proof is based on a joint limit theorem in the space of analytic functions.

Keywords: periodic zeta function, Dirichlet series, analytic function, meromorphic function, zeta function, Lebesgue measure, Euler function, probability measure.

UDC: 511

Received: 12.12.2007
Revised: 18.04.2008

DOI: 10.4213/mzm4412