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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc108-0-13,
author = {Antanas Laurin\v cikas and Renata Macaitien\.e},
title = {Universality results on Hurwitz zeta-functions},
journal = {Banach Center Publications},
volume = {108},
year = {2016},
pages = {161-172},
zbl = {06622293},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc108-0-13}
}
Antanas Laurinčikas; Renata Macaitienė. Universality results on Hurwitz zeta-functions. Banach Center Publications, Tome 108 (2016) pp. 161-172. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc108-0-13/