M. Jasas, A. Laurinčikas, D. Šiaučiūnas, “On the Approximation of Analytic Functions by Shifts of an Absolutely Convergent Dirichlet Series”, Mat. Zametki, 2021, Volume 109, Issue 6,Pages <nobr>832

This article is cited in 4 papers

On the Approximation of Analytic Functions by Shifts of an Absolutely Convergent Dirichlet Series

M. Jasas^a, A. Laurinčikas^a, D. Šiaučiūnas^b

^a Institute of Data Science and Digital Technologies, Vilnius University, Vilnius
^b Institute for Regional Development, Šiauliai Academy, Vilnius University

Abstract: A theorem dealing with the approximation of analytic functions in the strip $\{s\in \mathbb{C}: 1/2< \operatorname{Re} s<1\}$ by shifts of an absolutely convergent Dirichlet series close to a periodic zeta-function with multiplicative coefficients is proved.

Keywords: periodic zeta-function, weak convergence, Voronin universality theorem.

UDC: 511.3

Received: 25.10.2020
Revised: 17.01.2021

DOI: 10.4213/mzm12939