Research Article

On the joint universality for Dirichlet series connected to periodic zeta-functions

Published in: Quaestiones Mathematicae
Volume 46 , issue 12 , 2023 , pages: 2593–2604

DOI: 10.2989/16073606.2023.2178345

Author(s): Antanas Laurinčikas Vilnius University, Lithuania

Keywords: 11M41 , Approximation of analytic functions , periodic Hurwitz zeta-function , periodic zeta-function , universality

Download full text Get new issue alerts

Abstract

In the paper, we consider a collection of absolutely convergent Dirichlet series which in the mean are close to periodic and periodic Hurwitz zeta-functions, and prove that the shifts of mentioned Dirichlet series approximate simultaneously a wide class of analytic functions.

« On ωs-balanced semitopological groups

Counting covered fixed points and covered arcs in an involution »