Reduced diophantine quadruples with the binary recurrence G(n) = AG(n-1) - G(n-2)

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dc.contributor.authorAlp, Murat
dc.contributor.authorIrmak, Nurettin
dc.contributor.authorSzalay, Laszlo
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2015
dc.departmentNiğde ÖHÜ
dc.description.abstractGiven a positive integer A not equal 2. In this paper, we show that there do not exist two positive integer pairs {a, b} not equal {c, d} such that the values of ac + 1, ad + 1 and bc + 1, bd + 1 are the terms of the sequence {G(n)}(n >= 0) which satisfies the recurrence relation G(n) = AG(n-1) - G(n-2) with the initial values G(0) = 0, G(1) = 1.
dc.description.sponsorshipTUBITAK
dc.description.sponsorshipThis paper was written when the third author visited Mathematics Department of Art and Science Faculty, Nigde University. He would like to express his gratitude TUBITAK for the financial support and Mathematics Department for the kind and warm hospitality.
dc.identifier.doi10.1515/auom-2015-0022
dc.identifier.endpage31
dc.identifier.issn1224-1784
dc.identifier.issn1844-0835
dc.identifier.issue2
dc.identifier.scopus2-s2.0-84928954473
dc.identifier.scopusqualityQ3
dc.identifier.startpage23
dc.identifier.urihttps://dx.doi.org/10.1515/auom-2015-0022
dc.identifier.urihttps://hdl.handle.net/11480/4033
dc.identifier.volume23
dc.identifier.wosWOS:000359611800002
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor[0-Belirlenecek]
dc.language.isoen
dc.publisherOVIDIUS UNIV PRESS
dc.relation.ispartofANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectReduced diophantine quadruples
dc.subjectbinary recurrences
dc.titleReduced diophantine quadruples with the binary recurrence G(n) = AG(n-1) - G(n-2)
dc.typeArticle

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