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arXiv 2007-06-02 DOI 10.1016/j.jpaa.2007.05.019 0 views

Parametrization of Pythagorean triples by a single triple of polynomials

Frisch, Sophie · Vaserstein, Leonid

Original · EN

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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