On the compatibility of B\'ezout coefficients between Pythagorean pairs under unimodular transformations
Number Theory
2018-04-03 v1
Abstract
In a recent preprint, Gullerud and Walker [2] proved a theorem and made a conjecture about the correctness of efficiently generating B\'ezout trees for Pythagorean pairs. In this note, we give a simple proof of their theorem, confirm that their conjecture is true, and furthermore we give a generalization.
Keywords
Cite
@article{arxiv.1804.00278,
title = {On the compatibility of B\'ezout coefficients between Pythagorean pairs under unimodular transformations},
author = {Cherng-tiao Perng and Maila Brucal-Hallare},
journal= {arXiv preprint arXiv:1804.00278},
year = {2018}
}