POSITIVE INTEGER SOLUTIONS OF THE DIOPHANTINE EQUATIONS x2-5Fnxy-5(-1)ny2 = ±5r

dc.contributor.authorKeskin, Refik
dc.contributor.authorKaraatli, Olcay
dc.contributor.authorSiar, Zafer
dc.date.accessioned2025-05-20T18:54:12Z
dc.date.issued2013
dc.departmentBilecik Şeyh Edebali Üniversitesi
dc.description.abstractIn this study, we consider the Diophantine equations given in the title and determine when these equations have positive integer solutions. Moreover, we find all positive integer solutions of them in terms of Fibonacci and Lucas numbers.
dc.identifier.doi10.18514/MMN.2013.568
dc.identifier.endpage972
dc.identifier.issn1787-2405
dc.identifier.issn1787-2413
dc.identifier.issue3
dc.identifier.scopus2-s2.0-84892467684
dc.identifier.scopusqualityQ2
dc.identifier.startpage959
dc.identifier.urihttps://doi.org/10.18514/MMN.2013.568
dc.identifier.urihttps://hdl.handle.net/11552/7285
dc.identifier.volume14
dc.identifier.wosWOS:000338514500019
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWoS
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWoS - Science Citation Index Expanded
dc.language.isoen
dc.publisherUniv Miskolc Inst Math
dc.relation.ispartofMiskolc Mathematical Notes
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250518
dc.subjectDiophantine equations
dc.subjectFibonacci numbers
dc.subjectLucas numbers
dc.titlePOSITIVE INTEGER SOLUTIONS OF THE DIOPHANTINE EQUATIONS x2-5Fnxy-5(-1)ny2 = ±5r
dc.typeArticle

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Keskin vd. - 2013 - Positive integer solutions of the diophantine equations $x^2 -5 F_n xy - 5(-1)^n y^2 = pm 5^r$.pdf
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