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2023•Quaestiones MathematicaeRequires access

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

Antanas Laurinčikas

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Dirichlet series, Mathematics, General Dirichlet series, Dirichlet kernel, Dirichlet eta function, Class number formula, Dirichlet L-function, Riemann zeta function

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