The order of appearance of the product of two Fibonacci and Lucas numbers

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dc.authoridIRMAK, Nurettin/0000-0003-0409-4342
dc.contributor.authorIrmak, N.
dc.contributor.authorRay, P. K.
dc.date.accessioned2024-11-07T13:31:34Z
dc.date.available2024-11-07T13:31:34Z
dc.date.issued2020
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractLet Fn and Ln be the nth Fibonacci and Lucas number, respectively. The order of appearance is defined as the smallest natural number k such that n divides F-k and denoted by z(n) . In this paper, we give explicit formulas for the terms z(FaFb), z(LaLb), z(FaLb) and z(FnFn+pF(n)+2(p)) with p >= 3 prime.
dc.identifier.doi10.1007/s10474-020-01052-3
dc.identifier.endpage538
dc.identifier.issn0236-5294
dc.identifier.issn1588-2632
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85087408446
dc.identifier.scopusqualityQ2
dc.identifier.startpage527
dc.identifier.urihttps://doi.org/10.1007/s10474-020-01052-3
dc.identifier.urihttps://hdl.handle.net/11480/14929
dc.identifier.volume162
dc.identifier.wosWOS:000544545900006
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofActa Mathematica Hungarica
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241106
dc.subjectorder of appearance
dc.subjectFibonacci number
dc.subjectLucas number
dc.titleThe order of appearance of the product of two Fibonacci and Lucas numbers
dc.typeArticle

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