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Parametrization of Pythagorean triples by a single triple of polynomials

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arxiv 0706.0290 v2 pith:MCLUFRDB submitted 2007-06-02 math.NT math.GM

Sophie Frisch , Leonid Vaserstein This is my paper · ORCID
classification math.NTmath.GM
keywords polynomialstriplespythagoreansingletriplecoefficientsintegerparametrization
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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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