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Pythagorean Triples, Bézout Coefficients and the Erdős-Straus Conjeceture

2021/07/12 by Kyle Bradford, Bradford, Kyle
Mathematics · #Mathematics and Applications #History and Theory of Mathematics #Analytic Number Theory Research

paper · pdf · doi:10.48550/arxiv.2107.05400

Abstract

This paper is a preliminary expository paper that outlines the relationship between solutions to the Erdős-Straus conjecture for a given prime p and their corresponding Pythagorean triples. This paper also uses Bézout Coefficients to find a relationship between the solutions to the conjecture and roots of a second degree polynomial.

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