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arXiv · 0706.0290

Parametrization of Pythagorean triples by a single triple of polynomials

Sophie Frisch·Leonid Vaserstein
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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.

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Sophie Frisch, Leonid Vaserstein. 2007-06-02. Parametrization of Pythagorean triples by a single triple of polynomials. https://doi.org/10.1016/j.jpaa.2007.05.019

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