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On the exponential Diophantine equation mx + (m+1)y = (1+m plus m2)z

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dc.contributor.authorAlan, Murat
dc.date.accessioned2026-06-27T14:35:30Z
dc.date.issued2021
dc.description.abstractLet m > 1 be a positive integer. We show that the exponential Diophantine equation m(x) + (m + 1)(y) = (1 + m + m(2))(z) has only the positive integer solution (x, y, z) = (2, 1, 1) when m >= 2.en
dc.description.urihttps://doi.org/10.2478/auom-2021-0032
dc.identifier.doi10.2478/auom-2021-0032
dc.identifier.eissn1844-0835
dc.identifier.endpage32
dc.identifier.issn1224-1784
dc.identifier.issue3
dc.identifier.startpage23
dc.identifier.urihttps://hdl.handle.net/20.500.14981/62424
dc.identifier.volume29
dc.identifier.wos000729560000002
dc.language.isoeng
dc.publisherOVIDIUS UNIV PRESS
dc.relation.ispartofANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
dc.rightsopenAccess
dc.subjectexponential Diophantine equations
dc.subjectClassification Method
dc.subjectprimitive divisor theorem
dc.subjectJESMANOWICZ CONJECTURE
dc.subjectDIVISORS
dc.subjectMathematics
dc.titleOn the exponential Diophantine equation mx + (m+1)y = (1+m plus m2)z
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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