| Title |
Extension of the discrete universality theorem for zeta-functions of certain cusp forms |
| Authors |
Laurinčikas, Antanas ; Šiaučiūnas, Darius ; Vaiginytė, Adelė |
| DOI |
10.15388/NA.2018.6.10 |
| Full Text |
|
| Is Part of |
Nonlinear analysis: modelling and control.. Vilnius : Institute of mathematics and informatics. 2018, vol. 23, no. 6, p. 961-973.. ISSN 1392-5113 |
| Keywords [eng] |
Hecke-eigen cusp form ; uniform distribution modulo 1 ; universality, zeta-function of cusp form |
| Abstract [eng] |
In the paper, an universality theorem on the approximation of analytic functions by generalized discrete shifts of zeta functions of Hecke-eigen cusp forms is obtained. These shifts are defined by using the function having continuous derivative satisfying certain natural growth conditions, and, on positive integers, uniformly distributed modulo 1. |
| Published |
Vilnius : Institute of mathematics and informatics |
| Type |
Journal article |
| Language |
English |
| Publication date |
2018 |
| CC license |
|
