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On the Exponential Diophantine Equation (m2 + m+1)x + my = (m+1)z

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dc.contributor.authorAlan, Murat
dc.date.accessioned2026-06-27T14:24:07Z
dc.date.issued2020
dc.description.abstractLet m >= 1 be a positive integer. We show that the exponential Diophantine equation (m(2) + m + 1)(x) + m(y) = (m + 1)(z) has no positive integer solutions other than (x, y, z) = (1, 1, 2) when m is not an element of {1, 2, 3}.en
dc.description.urihttps://doi.org/10.1007/s00009-020-01613-4
dc.identifier.doi10.1007/s00009-020-01613-4
dc.identifier.eissn1660-5454
dc.identifier.issn1660-5446
dc.identifier.issue6
dc.identifier.urihttps://hdl.handle.net/20.500.14981/60202
dc.identifier.volume17
dc.identifier.wos000586689700001
dc.language.isoeng
dc.publisherSPRINGER BASEL AG
dc.relation.ispartofMEDITERRANEAN JOURNAL OF MATHEMATICS
dc.subjectExponential Diophantine equations
dc.subjectm-adic valuation
dc.subjectJESMANOWICZ CONJECTURE
dc.subjectLINEAR-FORMS
dc.subjectLOGARITHMS
dc.subjectMathematics
dc.titleOn the Exponential Diophantine Equation (m2 + m+1)x + my = (m+1)z
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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