Pythagorean Triples, B\'{e}zout Coefficients and the Erd\H{o}s-Straus Conjeceture
Number Theory
2021-07-13 v1
Abstract
This paper is a preliminary expository paper that outlines the relationship between solutions to the Erd\H{o}s-Straus conjecture for a given prime and their corresponding Pythagorean triples. This paper also uses B\'{e}zout Coefficients to find a relationship between the solutions to the conjecture and roots of a second degree polynomial.
Keywords
Cite
@article{arxiv.2107.05400,
title = {Pythagorean Triples, B\'{e}zout Coefficients and the Erd\H{o}s-Straus Conjeceture},
author = {Kyle Bradford},
journal= {arXiv preprint arXiv:2107.05400},
year = {2021}
}