| Title |
A weighted discrete universality theorem for periodic zeta-functions. II / |
| Authors |
Šiaučiūnas, Darius ; Macaitienė, Renata ; Stoncelis, Mindaugas |
| DOI |
10.3846/13926292.2017.1365779 |
| Full Text |
|
| Is Part of |
Mathematical modelling and analysis.. Vilnius : Technika; Taylor & Francis. 2017, vol. 22, iss. 6, p. 750-762.. ISSN 1392-6292. eISSN 1648-3510 |
| Keywords [eng] |
Hurwitz zeta-function ; Mergelyan theorem ; periodic zeta-function ; universality |
| Abstract [eng] |
In the paper, a weighted theorem on the approximation of a wide class of analytic functions by shifts $\zeta(s+ik^\alpha h; \mathfrak{a})$, $k\in \mathbb{N}$, $0<\alpha<1$, and $h>0$, of the periodic zeta-function $\zeta(s; \mathfrak{a})$ with multiplicative periodic sequence $\mathfrak{a}$, is obtained. |
| Published |
Vilnius : Technika; Taylor & Francis |
| Type |
Journal article |
| Language |
English |
| Publication date |
2017 |
| CC license |
|
