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
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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 CC license description