Joint universality of periodic zeta-functions with multiplicative coefficients
Articles
Antanas Laurinčikas
Vilnius University
https://orcid.org/0000-0002-7671-0282
Monika Tekorė
Šiauliai University
https://orcid.org/0000-0002-3968-3377
Published 2020-09-01
https://doi.org/10.15388/namc.2020.25.19278
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Keywords

joint universality
periodic zeta-function
space of analytic functions
weak convergence

How to Cite

Laurinčikas A. and Tekorė M. (2020) “Joint universality of periodic zeta-functions with multiplicative coefficients”, Nonlinear Analysis: Modelling and Control, 25(5), pp. 860–883. doi: 10.15388/namc.2020.25.19278.

Abstract

The periodic zeta-function is defined by the ordinary Dirichlet series with periodic coefficients. In the paper, joint universality theorems on the approximation of a collection of analytic functions by nonlinear shifts of periodic zeta-functions with multiplicative coefficients are obtained. These theorems do not use any independence hypotheses on the coefficients of zeta-functions.

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