Diophantine Equations Related with Linear Binary Recurrences

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dc.contributor.authorKilic, Emrah
dc.contributor.authorAkkus, Ilker
dc.contributor.authorOmur, Nese
dc.date.accessioned2025-01-21T16:37:45Z
dc.date.available2025-01-21T16:37:45Z
dc.date.issued2022
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this paper we find all solutions of four kinds of the Dio-phantine equations x(2) +/- V(t)xy - y(2) +/- x = 0 and x(2) +/- V(t)xy - y(2) +/- y = 0, for an odd number t, and, x(2) +/- V(t)xy + y(2) - x = 0 and x(2) +/- V(t)xy +/- y(2) - y = 0, for an even number t, where V-n is a generalized Lucas number. This paper continues and extends a previous work of Bahramian and Daghigh.
dc.identifier.doi10.52547/ijmsi.17.1.11
dc.identifier.endpage26
dc.identifier.issn1735-4463
dc.identifier.issn2008-9473
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85129991481
dc.identifier.scopusqualityQ3
dc.identifier.startpage11
dc.identifier.urihttps://doi.org/10.52547/ijmsi.17.1.11
dc.identifier.urihttps://hdl.handle.net/20.500.12587/24523
dc.identifier.volume17
dc.identifier.wosWOS:000798350900002
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTarbiat Modares Univ, Acecr
dc.relation.ispartofIranian Journal of Mathematical Sciences and Informatics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectLinear recurrences; Generalized Fibonacci and Lucas sequences; Diophantine equations; Continued fractions
dc.titleDiophantine Equations Related with Linear Binary Recurrences
dc.typeArticle

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