Parametrization of Pythagorean triples by a single triple of polynomials

Details Parametrization of Pythagorean triples by a single triple of polynomials Parametrization of Pythagorean triples by a single triple of polynomials

2007-06-02

arxiv.org/abs/0706.0290v2

J. Pure Appl. Algebra 212(1) (2008) 271-274

Mathematics

Number Theory

to appear in J. Pure Appl. Algebra

Scientific paper

10.1016/j.jpaa.2007.05.019

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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