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FIBONACCI AND LUCAS NUMBERS AS PRODUCTS OF THEIR ARBITRARY TERMS

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dc.contributor.authorDaşdemir, Ahmet
dc.contributor.authorEmin, Ahmet
dc.date.accessioned2026-01-05T23:16:37Z
dc.date.issued2024-09-30
dc.description.abstractThis study presents all solutions to the Diophantine equations F_k=L_m L_n and L_k=F_m F_n. To be clear, the Fibonacci numbers that are the product of two arbitrary Lucas numbers and the Lucas numbers that are the product of two arbitrary Fibonacci numbers are determined herein. The results under consideration are proven by using the Dujella-Pethő lemma in coordination with Matveev's theorem. All common terms of the Fibonacci and Lucas numbers are determined. Further, the Lucas-square Fibonacci and Fibonacci-square Lucas numbers are given.
dc.description.urihttps://doi.org/10.18038/estubtda.1444927
dc.description.urihttps://dergipark.org.tr/tr/pub/estubtda/issue/87481/1444927
dc.identifier.doi10.18038/estubtda.1444927
dc.identifier.endpage414
dc.identifier.issn2667-4211
dc.identifier.openairedoi_dedup___::9ba40538ce6a8f5aad3a92e07875eaa1
dc.identifier.orcid0000-0001-8352-2020
dc.identifier.orcid0000-0001-7791-7181
dc.identifier.startpage407
dc.identifier.urihttps://hdl.handle.net/20.500.12597/43686
dc.identifier.volume25
dc.publisherAnadolu Universitesi Bilim ve Teknoloji Dergisi-A: Uygulamali Bilimler ve Muhendislik
dc.relation.ispartofEskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering
dc.rightsOPEN
dc.subjectTemel Matematik (Diğer)
dc.subjectFibonacci and Lucas numbers
dc.subjectlogarithmic height in logarithms
dc.subjectMatveev theorem
dc.subjectDujella and Pethö lemma
dc.subjectPure Mathematics (Other)
dc.titleFIBONACCI AND LUCAS NUMBERS AS PRODUCTS OF THEIR ARBITRARY TERMS
dc.typeArticle
dspace.entity.typePublication
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