Parametrization of Pythagorean triples by a single triple of polynomials |
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| Authors: | Sophie Frisch Leonid Vaserstein |
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| Institution: | a Institut für Mathematik C, Technische Universität Graz, Steyrergasse 30, A-8010 Graz, Austria
b Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA |
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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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| Keywords: | Primary 11D09 secondary 11D85 11C08 13F20 |
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