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ON THE PELL-EISENSTEIN SERIES OF POWER m

ArticleAçık Erişim

Özet

In this paper, we introduce the Pell-Eisenstein Series which are obtained by Pell numbers and they are a new class of Eisenstein-type series. First we see that they are well-defined and then we prove that the Pell-Eisenstein series satisfies some functional equations. Proofs are based on properties of Pell numbers and calculations. © 2022, Transilvania University of Brasov 1. All rights reserved.

Anahtar Kelimeler

Eisenstein seriesinteger partitionsmodular formsPell numbers
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorInam, Ilker
dc.contributor.authorÖzkan, Engin
dc.contributor.authorÖzkaya, Zeynep Demirkol
dc.contributor.authorUysal, Mine
dc.date.accessioned2026-10-18T20:27:42.769089865Z
dc.date.available2026-10-18T20:27:42.769089865Z
dc.date.issued2022
dc.description.abstractIn this paper, we introduce the Pell-Eisenstein Series which are obtained by Pell numbers and they are a new class of Eisenstein-type series. First we see that they are well-defined and then we prove that the Pell-Eisenstein series satisfies some functional equations. Proofs are based on properties of Pell numbers and calculations. © 2022, Transilvania University of Brasov 1. All rights reserved.
dc.identifier.doi10.31926/but.mif.2022.2.64.1.6
dc.identifier.endpage82
dc.identifier.issn2810-2029
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85134003304
dc.identifier.startpage77
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12849
dc.identifier.volume2
dc.language.isoen
dc.publisherTransilvania University of Brasov 1
dc.relation.ispartofBulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Science
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectEisenstein series
dc.subjectinteger partitions
dc.subjectmodular forms
dc.subjectPell numbers
dc.titleON THE PELL-EISENSTEIN SERIES OF POWER m
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus0
rdl.oa.statusgreen
rdl.source.indexSCOPUS