Universality of the Periodic Hurwitz Zeta-Function with Rational Parameter
- Authors: Laurinčikas A.1, Macaitienė R.2, Mochov D.1, Šiaučiūnas D.3
-
Affiliations:
- Vilnius University
- Šiauliai University, Šiauliai State College
- Šiauliai University
- Issue: Vol 59, No 5 (2018)
- Pages: 894-900
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172052
- DOI: https://doi.org/10.1134/S0037446618050130
- ID: 172052
Cite item
Abstract
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.
About the authors
A. Laurinčikas
Vilnius University
Author for correspondence.
Email: antanas.laurincikas@mif.vu.lt
Lithuania, Vilnius
R. Macaitienė
Šiauliai University, Šiauliai State College
Email: antanas.laurincikas@mif.vu.lt
Lithuania, Šiauliai
D. Mochov
Vilnius University
Email: antanas.laurincikas@mif.vu.lt
Lithuania, Vilnius
D. Šiaučiūnas
Šiauliai University
Email: antanas.laurincikas@mif.vu.lt
Lithuania, Šiauliai