| Title |
A weighted universality theorem for periodic zeta-functions |
| Authors |
Macaitienė, Renata ; Stoncelis, Mindaugas ; Šiaučiūnas, Darius |
| DOI |
10.3846/13926292.2017.1269373 |
| Full Text |
|
| Is Part of |
Mathematical modelling and analysis.. Vilnius : Technika. 2017, vol. 22, iss. 1, p. 95-105.. ISSN 1392-6292. eISSN 1648-3510 |
| Keywords [eng] |
Hurwitz zeta-function ; Mergelyan theorem ; periodic zeta-function, universality |
| Abstract [eng] |
The periodic zeta-function \zeta(s; a) is defined for \sigma> 1 by the Dirichlet series with periodic coecients and is meromorphically continued to the whole complex plane. It is known that the function \zeta(s; a), for some sequences a of coeficients, is universal in the sense that its shifts \zeta(s + i\tau; a), \tau\in\R, approximate a wide class of analytic functions. In the paper, a weighted universality theorem for the function \zeta(s; a) is obtained. |
| Published |
Vilnius : Technika |
| Type |
Journal article |
| Language |
English |
| Publication date |
2017 |
| CC license |
|
