Universality results on Hurwitz zeta-functions

Antanas Laurinčikas; Renata Macaitienė

Banach Center Publications (2016)

  • Volume: 108, Issue: 1, page 161-172
  • ISSN: 0137-6934

Abstract

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In the paper, we give a survey of the results on the approximation of analytic functions by shifts of Hurwitz zeta-functions. Theorems of such a kind are called universality theorems. Continuous, discrete and joint universality theorems of Hurwitz zeta-functions are discussed.

How to cite

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Antanas Laurinčikas, and Renata Macaitienė. "Universality results on Hurwitz zeta-functions." Banach Center Publications 108.1 (2016): 161-172. <http://eudml.org/doc/286587>.

@article{AntanasLaurinčikas2016,
abstract = {In the paper, we give a survey of the results on the approximation of analytic functions by shifts of Hurwitz zeta-functions. Theorems of such a kind are called universality theorems. Continuous, discrete and joint universality theorems of Hurwitz zeta-functions are discussed.},
author = {Antanas Laurinčikas, Renata Macaitienė},
journal = {Banach Center Publications},
keywords = {Hurwitz zeta-functions; universality; shifts; -functions},
language = {eng},
number = {1},
pages = {161-172},
title = {Universality results on Hurwitz zeta-functions},
url = {http://eudml.org/doc/286587},
volume = {108},
year = {2016},
}

TY - JOUR
AU - Antanas Laurinčikas
AU - Renata Macaitienė
TI - Universality results on Hurwitz zeta-functions
JO - Banach Center Publications
PY - 2016
VL - 108
IS - 1
SP - 161
EP - 172
AB - In the paper, we give a survey of the results on the approximation of analytic functions by shifts of Hurwitz zeta-functions. Theorems of such a kind are called universality theorems. Continuous, discrete and joint universality theorems of Hurwitz zeta-functions are discussed.
LA - eng
KW - Hurwitz zeta-functions; universality; shifts; -functions
UR - http://eudml.org/doc/286587
ER -

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