| Title |
On joint approximation of analytic functions by non-linear shifts of zeta-functions of certain cusp forms |
| Authors |
Laurinčikas, Antanas ; Šiaučiūnas, Darius ; Vaiginytė, Adelė |
| DOI |
10.15388/namc.2020.25.15734 |
| Full Text |
|
| Is Part of |
Nonlinear analysis: modelling and control.. Vilnius : Vilniaus universiteto leidykla. 2020, vol. 25, no. 1, p. 108-125.. ISSN 1392-5113. eISSN 2335-8963 |
| Keywords [eng] |
Hecke-eigen cusp form, joint universality ; uniform distribution modulo 1 ; zeta-function of cusp form |
| Abstract [eng] |
In the paper, joint discrete universality theorems on the simultaneous approximation of a collection of analytic functions by a collection of discrete shifts of zeta-functions attached to normalized Hecke-eigen cusp forms are obtained. These shifts are defined by means of non-linear differentiable functions that satisfy certain growth conditions, and their combination on positive integers is uniformly distributed modulo 1. |
| Published |
Vilnius : Vilniaus universiteto leidykla |
| Type |
Journal article |
| Language |
English |
| Publication date |
2020 |
| CC license |
|