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An elementary approach to the generalized ramanujan-nagell equation

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dc.contributor.authorLe, Maohua
dc.contributor.buuauthorMutlu, Elif Kızıldere
dc.contributor.buuauthorSoydan, Gökhan
dc.contributor.buuauthorSOYDAN, GÖKHAN
dc.contributor.departmentBursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.
dc.contributor.orcid0000-0002-7651-7001
dc.contributor.researcheridM-9459-2017
dc.date.accessioned2024-09-17T07:16:53Z
dc.date.available2024-09-17T07:16:53Z
dc.date.issued2023-01-13
dc.description.abstractLet k be a fixed positive integer with k > 1. In this paper, using various elementary methods in number theory, we give criteria under which the equation x(2) + (2k - 1)(y) = k(z) has no positive integer solutions (x, y, z) with y is an element of {3, 5}.
dc.description.sponsorshipNational PhD scholarship program
dc.identifier.doi10.1007/s13226-023-00372-8
dc.identifier.endpage399
dc.identifier.issn0019-5588
dc.identifier.issue1
dc.identifier.startpage392
dc.identifier.urihttps://doi.org/10.1007/s13226-023-00372-8
dc.identifier.urihttps://hdl.handle.net/11452/44816
dc.identifier.volume55
dc.identifier.wos000913724100001
dc.indexed.wosWOS.SCI
dc.language.isoen
dc.publisherIndian Nat Sci Acad
dc.relation.journalIndian Journal Of Pure & Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.relation.tubitak2211/A
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectPolynomial-exponential diophantine equation
dc.subjectGeneralized ramanujan-nagell equation
dc.subjectElementary method in number theory
dc.subjectScience & technology
dc.subjectPhysical sciences
dc.subjectMathematics
dc.titleAn elementary approach to the generalized ramanujan-nagell equation
dc.typeArticle
dspace.entity.typePublication
relation.isAuthorOfPublication356f7af9-3f0f-4c82-8733-d98627634647
relation.isAuthorOfPublication.latestForDiscovery356f7af9-3f0f-4c82-8733-d98627634647

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