BALANCING WITH POWERS OF THE LUCAS SEQUENCE OF RECURRENCE un = Aun-1 - un-2

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dc.authoridIRMAK, Nurettin/0000-0003-0409-4342
dc.contributor.authorIrmak, Nurettin
dc.contributor.authorAlp, Murat
dc.date.accessioned2024-11-07T13:31:51Z
dc.date.available2024-11-07T13:31:51Z
dc.date.issued2017
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractIn this paper, we show that there is no solution of the diophantine equation u(1)(k) + u(2)(k) + . . . + u(n+1)(l) + u(n+2)(l) + . . . + u(n+r)(l) for special cases of k and l where the elements of sequence {u(n)} satisfy the relation u(n) = Aun-1 - u(n-2) with u(0) = 0, u(1) = 1 and A >= 3 is a positive integer.
dc.identifier.doi10.18514/MMN.2017.2131
dc.identifier.endpage858
dc.identifier.issn1787-2405
dc.identifier.issn1787-2413
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85116361496
dc.identifier.scopusqualityQ3
dc.identifier.startpage851
dc.identifier.urihttps://doi.org/10.18514/MMN.2017.2131
dc.identifier.urihttps://hdl.handle.net/11480/15072
dc.identifier.volume18
dc.identifier.wosWOS:000425348300025
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
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_20241106
dc.subjectDiophantine equation
dc.subjectLucas sequence
dc.titleBALANCING WITH POWERS OF THE LUCAS SEQUENCE OF RECURRENCE un = Aun-1 - un-2
dc.typeArticle

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