A short note on the Pell-Lucas-Eisenstein series

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dc.authorid0000-0002-2362-3097
dc.authorid0000-0002-4188-7248
dc.contributor.authorUysal, Mine
dc.contributor.authorInam, Ilker
dc.contributor.authorOzkan, Engin
dc.date.accessioned2025-05-20T18:56:08Z
dc.date.issued2022
dc.departmentBilecik Şeyh Edebali Üniversitesi
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.
dc.identifier.doi10.1142/S1793557122502199
dc.identifier.issn1793-5571
dc.identifier.issn1793-7183
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85128739418
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.1142/S1793557122502199
dc.identifier.urihttps://hdl.handle.net/11552/7588
dc.identifier.volume15
dc.identifier.wosWOS:000800178100010
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWoS
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWoS - Emerging Sources Citation Index
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofAsian-European Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250518
dc.subjectEisenstein series
dc.subjectPell-Lucas numbers
dc.subjectmodular forms
dc.subjectinteger partitions
dc.titleA short note on the Pell-Lucas-Eisenstein series
dc.typeArticle

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