On The Diophantine Equation:Jesmanowicz Conjecture And Selected Special Cases

Ahmed Balfaqih, Abdulrahman Hamed (2020) On The Diophantine Equation:Jesmanowicz Conjecture And Selected Special Cases. PhD thesis, Universiti Sains Malaysia.

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Abstract

In 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.

Item Type: Thesis (PhD)
Subjects: Q Science > QA Mathematics > QA1 Mathematics (General)
Divisions: Pusat Pengajian Sains Matematik (School of Mathematical Sciences) > Thesis
Depositing User: Mr Hasmizar Mansor
Date Deposited: 20 May 2022 01:59
Last Modified: 20 May 2022 01:59
URI: http://eprints.usm.my/id/eprint/52545

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