Universality results on Hurwitz zeta-functions
Volume 108 / 2016
Banach Center Publications 108 (2016), 161-172
MSC: Primary 11M06; Secondary 11M35.
DOI: 10.4064/bc108-0-13
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.