On the sum of three arbitrary Fibonacci and Lucas numbers

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dc.contributor.authorIrmak, Nurettin
dc.contributor.authorSiar, Zafer
dc.contributor.authorKeskin, Refik
dc.date.accessioned2024-11-07T13:34:19Z
dc.date.available2024-11-07T13:34:19Z
dc.date.issued2019
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractIn this paper, we solve the equations L-k = F-n + F-m + F-r,F- F-k = F-n + F-m + F-r, L-k = E-n + L-m + L-r, F-k = E-n + L-m + F-L, for 0 < r <= m <= n and a natural number k. It is shown that only the equation F-k = L-n+ L-m + L-r has a finite number of solutions. The others have infinitely many solutions.
dc.identifier.doi10.7546/nntdm.2019.25.4.96-101
dc.identifier.endpage101
dc.identifier.issn1310-5132
dc.identifier.issn2367-8275
dc.identifier.issue4
dc.identifier.startpage96
dc.identifier.urihttps://doi.org/10.7546/nntdm.2019.25.4.96-101
dc.identifier.urihttps://hdl.handle.net/11480/15920
dc.identifier.volume25
dc.identifier.wosWOS:000502371600011
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherBulgarian Acad Science
dc.relation.ispartofNotes on Number Theory and Discrete Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241106
dc.subjectFibonacci number
dc.subjectLucas number
dc.subjectRecurrences
dc.titleOn the sum of three arbitrary Fibonacci and Lucas numbers
dc.typeArticle

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