Extension of the discrete universality theorem for zeta-functions of certain cusp forms

Extension of the discrete universality theorem for zeta-functions of certain cusp forms

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 p...

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Main Authors: Antanas Laurinčikas, Darius Šiaučiunas, Adelė Vaiginytė
Format: Article
Language:English
Published: Vilnius University Press 2018-12-01
Series:Nonlinear Analysis
Subjects:
Hecke-eigen cusp form
uniform distribution modulo 1
universality
zeta-function of cusp form
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13154
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spelling doaj-1bba5bf8ab354b2b92e1ac1fa29ec6b42020-11-25T00:41:14ZengVilnius University PressNonlinear Analysis1392-51132335-89632018-12-0123610.15388/NA.2018.6.10Extension of the discrete universality theorem for zeta-functions of certain cusp formsAntanas Laurinčikas0Darius Šiaučiunas1Adelė Vaiginytė2Vilnius UniversityŠiauliai University, LithuaniaVilnius University 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. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13154Hecke-eigen cusp formuniform distribution modulo 1universalityzeta-function of cusp form
collection DOAJ
language English
format Article
sources DOAJ
author Antanas Laurinčikas
Darius Šiaučiunas
Adelė Vaiginytė
spellingShingle Antanas Laurinčikas
Darius Šiaučiunas
Adelė Vaiginytė
Extension of the discrete universality theorem for zeta-functions of certain cusp forms
Nonlinear Analysis
Hecke-eigen cusp form
uniform distribution modulo 1
universality
zeta-function of cusp form
author_facet Antanas Laurinčikas
Darius Šiaučiunas
Adelė Vaiginytė
author_sort Antanas Laurinčikas
title Extension of the discrete universality theorem for zeta-functions of certain cusp forms
title_short Extension of the discrete universality theorem for zeta-functions of certain cusp forms
title_full Extension of the discrete universality theorem for zeta-functions of certain cusp forms
title_fullStr Extension of the discrete universality theorem for zeta-functions of certain cusp forms
title_full_unstemmed Extension of the discrete universality theorem for zeta-functions of certain cusp forms
title_sort extension of the discrete universality theorem for zeta-functions of certain cusp forms
publisher Vilnius University Press
series Nonlinear Analysis
issn 1392-5113
2335-8963
publishDate 2018-12-01
description 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.
topic Hecke-eigen cusp form
uniform distribution modulo 1
universality
zeta-function of cusp form
url http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13154
work_keys_str_mv AT antanaslaurincikas extensionofthediscreteuniversalitytheoremforzetafunctionsofcertaincuspforms
AT dariussiauciunas extensionofthediscreteuniversalitytheoremforzetafunctionsofcertaincuspforms
AT adelevaiginyte extensionofthediscreteuniversalitytheoremforzetafunctionsofcertaincuspforms
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