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A short note on the Pell-Lucas-Eisenstein series

ArticleAçık Erişim

Özet

In this work, we define a new type of Eisenstein-like series by using Pell-Lucas numbers and call them the Pell-Lucas-Eisenstein Series. First, we show that the Pell-Lucas-Eisenstein series are convergent on their domain. Afterwards we prove that they satisfy some certain functional equations. Proofs follows from some on calculations on Pell-Lucas numbers. © 2022 World Scientific Publishing Company.

Anahtar Kelimeler

Eisenstein seriesinteger partitionsmodular formsPell-Lucas numbers
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/12688Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1142/s1793557122502199Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorUysal, Mine
dc.contributor.authorInam, Ilker
dc.contributor.authorÖzkan, Engin
dc.date.accessioned2026-10-18T20:27:33.785938782Z
dc.date.available2026-10-18T20:27:33.785938782Z
dc.date.issued2022
dc.description.abstractIn this work, we define a new type of Eisenstein-like series by using Pell-Lucas numbers and call them the Pell-Lucas-Eisenstein Series. First, we show that the Pell-Lucas-Eisenstein series are convergent on their domain. Afterwards we prove that they satisfy some certain functional equations. Proofs follows from some on calculations on Pell-Lucas numbers. © 2022 World Scientific Publishing Company.
dc.identifier.doi10.1142/s1793557122502199
dc.identifier.eissn1793-7183
dc.identifier.issn1793-5571
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85128739418
dc.identifier.startpage2250219
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12688
dc.identifier.volume15
dc.identifier.wosWOS:000800178100010
dc.language.isoen
dc.publisherWorld Scientific
dc.relation.ispartofAsian-European Journal of Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectEisenstein series
dc.subjectinteger partitions
dc.subjectmodular forms
dc.subjectPell-Lucas numbers
dc.titleA short note on the Pell-Lucas-Eisenstein series
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus2
rdl.citation.wos2
rdl.oa.statusgreen
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)