On joint approximation of analytic functions by nonlinear shifts of zeta-functions of certain cusp forms
Articles
Antanas Laurinčikas
Vilnius University
https://orcid.org/0000-0002-7671-0282
Darius Šiaučiūnas
Šiauliai University
https://orcid.org/0000-0002-9248-8917
Adelė Vaiginytė
Vilnius University
Published 2020-01-10
https://doi.org/10.15388/namc.2020.25.15734
PDF

Keywords

Hecke-eigen cusp form
joint universality
uniform distribution modulo 1
zeta-function of cusp form

How to Cite

Laurinčikas A., Šiaučiūnas D. and Vaiginytė A. (2020) “On joint approximation of analytic functions by nonlinear shifts of zeta-functions of certain cusp forms”, Nonlinear Analysis: Modelling and Control, 25(1), pp. 108–125. doi: 10.15388/namc.2020.25.15734.

Abstract

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 nonlinear differentiable functions that satisfy certain growth conditions, and their combination on positive integers is uniformly distributed modulo 1.

PDF
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Please read the Copyright Notice in Journal Policy