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 |
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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 |
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