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2022•Mathematical Modelling and AnalysisOpen access

DISCRETE UNIVERSALITY OF ABSOLUTELY CONVERGENT DIRICHLET SERIES

Mindaugas Jasas, Antanas P Laurincikas, Mindaugas Stoncelis, Darius Šiaučiūnas

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Abstract

In the paper, an universality theorem of discrete type on the approximation of analytic functions by shifts of a special absolutely convergent Dirichlet series is obtained. These series is close in a certain sense to the periodic zeta-function and depends on a parameter.

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What this paper is about

In the paper, an universality theorem of discrete type on the approximation of analytic functions by shifts of a special absolutely convergent Dirichlet series is obtained. These series is close in a certain sense to the periodic zeta-function and depends on a parameter.

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Available abstract

In the paper, an universality theorem of discrete type on the approximation of analytic functions by shifts of a special absolutely convergent Dirichlet series is obtained. These series is close in a certain sense to the periodic zeta-function and depends on a parameter.

Key concepts: General Dirichlet series, Mathematics, Dirichlet series, Absolute convergence, Universality (dynamical systems), Dirichlet kernel, Dirichlet eta function, Riemann zeta function

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