Universality of the Periodic Hurwitz Zeta-Function with Rational Parameter


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详细

The periodic Hurwitz zeta-function, a generalization of the classical Hurwitz zeta-function, is defined by a Dirichlet series with periodic coefficients and depends on a fixed parameter. We show that a wide class of analytic functions is approximated by shifts of a periodic zeta-function with rational parameter.

作者简介

A. Laurinčikas

Vilnius University

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Email: antanas.laurincikas@mif.vu.lt
立陶宛, Vilnius

R. Macaitienė

Šiauliai University, Šiauliai State College

Email: antanas.laurincikas@mif.vu.lt
立陶宛, Šiauliai

D. Mochov

Vilnius University

Email: antanas.laurincikas@mif.vu.lt
立陶宛, Vilnius

D. Šiaučiūnas

Šiauliai University

Email: antanas.laurincikas@mif.vu.lt
立陶宛, Šiauliai

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