DIOPHANTINE TRIPLES AND REDUCED QUADRUPLES WITH THE LUCAS SEQUENCE OF RECURRENCE

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dc.contributor.authorIrmak, Nurettin
dc.contributor.authorSzalay, Laszlo
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2014
dc.departmentNiğde ÖHÜ
dc.description.abstractIn this study, we show that there is no positive integer triple {a, b, c} such that all of ab+1, ac+1 and bc+1 are in the sequence {u(n)}n= 0 satisfies the recurrence un=Aun-1-un-2 with the initial values u0=0, u1=1. Further, we investigate the analogous question for the quadruples {a,b,c,d} with abc+1=ux, bcd+1=uy, cda+1=uz and dab+1=ut, and deduce the non-existence of such quadruples.
dc.identifier.doi10.3336/gm.49.2.05
dc.identifier.endpage312
dc.identifier.issn0017-095X
dc.identifier.issn1846-7989
dc.identifier.issue2
dc.identifier.scopus2-s2.0-84919334074
dc.identifier.scopusqualityQ3
dc.identifier.startpage303
dc.identifier.urihttps://dx.doi.org/10.3336/gm.49.2.05
dc.identifier.urihttps://hdl.handle.net/11480/4223
dc.identifier.volume49
dc.identifier.wosWOS:000346602100005
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor[0-Belirlenecek]
dc.language.isoen
dc.publisherCROATIAN MATHEMATICAL SOC
dc.relation.ispartofGLASNIK MATEMATICKI
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectDiophantine triples
dc.subjectDiophantine quadruples
dc.subjectbinary recurrence
dc.titleDIOPHANTINE TRIPLES AND REDUCED QUADRUPLES WITH THE LUCAS SEQUENCE OF RECURRENCE
dc.typeArticle

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