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A note on the ternary diophantine equation x2 - y2m = zn

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dc.contributor.authorBerczes, Attila
dc.contributor.authorLe, Maohua
dc.contributor.authorPink, Istvan
dc.contributor.authorSoydan, Gokhan
dc.contributor.buuauthorSoydan, Gokhan
dc.contributor.departmentBursa Uludağ Üniversitesi/-Fen Edebiyat Fakültesi/Matematik Bölümü.
dc.contributor.orcid0000-0002-6321-4132
dc.contributor.researcheridM-9459-2017
dc.date.accessioned2024-06-26T13:35:36Z
dc.date.available2024-06-26T13:35:36Z
dc.date.issued2021-01-01
dc.description.abstractLet N be the set of all positive integers. In this paper, using some known results on various types of Diophantine equations, we solve a couple of special cases of the ternary equation x(2) - y(2m) = z(n), x, y, z, m, n is an element of N, gcd(x, y) = 1, m >= 2, n >= 3.
dc.description.sponsorshipOrszagos Tudomanyos Kutatasi Alapprogramok (OTKA) K115479 -- K128088 -- ANN130909
dc.identifier.doi10.2478/auom-2021-0020
dc.identifier.endpage105
dc.identifier.issn1224-1784
dc.identifier.issue2
dc.identifier.startpage93
dc.identifier.urihttps://doi.org/10.2478/auom-2021-0020
dc.identifier.urihttps://hdl.handle.net/11452/42465
dc.identifier.volume29
dc.identifier.wos000672590000005
dc.indexed.wosWOS.SCI
dc.language.isoen
dc.publisherOvidius Univ Press
dc.relation.bapF-2020/8
dc.relation.journalAnalele Stiintifice Ale Universitatii Ovidius Constanta-seria Matematica
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectHigher diophantine equation
dc.subjectExponential diophantine equation
dc.subjectGeneralized fermat equation
dc.subjectTernary equation
dc.subjectScience & technology
dc.subjectPhysical sciences
dc.subjectMathematics, applied
dc.subjectMathematics
dc.subjectMathematics
dc.titleA note on the ternary diophantine equation x2 - y2m = zn
dc.typeArticle
dspace.entity.typePublication

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