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arXiv:0706.0290 [math.NT]AbstractReferencesReviewsResources

Parametrization of Pythagorean triples by a single triple of polynomials

Sophie Frisch, Leonid Vaserstein

Published 2007-06-02, updated 2007-06-21Version 2

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.

Comments: to appear in J. Pure Appl. Algebra
Journal: J. Pure Appl. Algebra 212(1) (2008) 271-274
Categories: math.NT, math.GM
Subjects: 11D09, 11D85, 13F20
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