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Research Article Open access CC BY 4.0

On the Compatibility of Bézout Coefficients between Pythagorean Pairs under Unimodular Transformations

Cherng-Tiao Perng, Maila Brucal-Hallare

Journal of Advances in Mathematics and Computer Science · pp. 1–13 · Published 3 Apr 2019

10.9734/jamcs/2019/v31i430120

Abstract

In a recent preprint, Gullerud and Walker proved a theorem and made a conjecture about thecorrectness of efficiently generating Bézout trees for Pythagorean pairs. In this note, we give a simple proof of their theorem, conrm that their conjecture is true, and furthermore we give a generalization.

Bézout coefficients Pythagorean pairs unimodular transformations

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