On the Compatibility of Bézout Coefficients between Pythagorean Pairs under Unimodular Transformations
Cherng-tiao Perng *
Department of Mathematics, Norfolk State University, USA.
Maila Brucal-Hallare
Department of Mathematics, Norfolk State University, USA.
*Author to whom correspondence should be addressed.
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.
Keywords: Bézout coefficients, Pythagorean pairs, unimodular transformations