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2023•Mathematical Modelling and AnalysisOpen access

ON A DIRICHLET SERIES CONNECTED TO A PERIODIC HURWITZ ZETA-FUNCTION WITH TRANSCENDENTAL AND RATIONAL PARAMETER

Aidas Balčiūnas, Antanas Laurinčikas, Mindaugas Stoncelis

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Abstract

In the paper, we construct an absolutely convergent Dirichlet series which in the mean is close to the periodic Hurwitz zeta-function, and has the universality property on the approximation of a wide class of analytic functions.

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What this paper is about

In the paper, we construct an absolutely convergent Dirichlet series which in the mean is close to the periodic Hurwitz zeta-function, and has the universality property on the approximation of a wide class of analytic functions.

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Available abstract

In the paper, we construct an absolutely convergent Dirichlet series which in the mean is close to the periodic Hurwitz zeta-function, and has the universality property on the approximation of a wide class of analytic functions.

Key concepts: Dirichlet series, Mathematics, General Dirichlet series, Riemann zeta function, Dirichlet eta function, Polylogarithm, Dirichlet kernel, Pure mathematics

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ON A DIRICHLET SERIES CONNECTED TO A PERIODIC HURWITZ ZETA-FUNCTION WITH TRANSCENDENTAL AND RATIONAL PARAMETER — Research Paper | ScholarLens