On The Diophantine Equation:Jesmanowicz Conjecture And Selected Special Cases

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dc.contributor.authorAbdulrahman Hamed Ahmed Balfaqih
dc.date.accessioned2022-05-20T01:58:24Z
dc.date.available2022-05-20T01:58:24Z
dc.date.issued2020-11
dc.description.abstractIn 1956, Jes´manowicz conjectured that for any primitive Pythagorean triple (a, b, c) with the Diophantine equation a2 + b2 = c2 and any positive integer k, the only solution of equation (ak)x +(bk)y = (ck)z, in positive integers, is (x, y, z) = (2, 2, 2). It is a famous unsolved conjecture on Pythagorean triples and exponential Diophantine equations, and generally it has not been solved yet. In this thesis, there are six chapters all together. The first chapter is on introduction of the thesis. Chapter 2 represents preliminaries and literature review.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/15261
dc.publisherUniversiti Sains Malaysiaen_US
dc.subjectOn The Diophantine Equationen_US
dc.subjectJesmanowicz Conjecture And Selected Special Casesen_US
dc.titleOn The Diophantine Equation:Jesmanowicz Conjecture And Selected Special Casesen_US
dc.typeThesisen_US
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