Parametrization of Pythagorean triples by a single triple of polynomials
Number Theory
2011-06-29 v2 General Mathematics
Abstract
It is well known that Pythagorean triples can be parametrized by two triples of polynomials with integer coefficients. We show that no single triple of polynomials with integer coefficients in any number of variables is sufficient, but that there exists a parametrization of Pythagorean triples by a single triple of integer-valued polynomials.
Keywords
Cite
@article{arxiv.0706.0290,
title = {Parametrization of Pythagorean triples by a single triple of polynomials},
author = {Sophie Frisch and Leonid Vaserstein},
journal= {arXiv preprint arXiv:0706.0290},
year = {2011}
}
Comments
to appear in J. Pure Appl. Algebra