Parametrization of Pythagorean triples by a single triple of polynomials

DOI10.1016/j.jpaa.2007.05.019zbMath1215.11025arXiv0706.0290OpenAlexW2097866470WikidataQ114155523 ScholiaQ114155523MaRDI QIDQ2456401

Sophie Frisch, L.N.Vaserstein and E.R.Wheland

Publication date: 18 October 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.0290

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in number theory (11C08) Representation problems (11D85)

Related Items (6)

POLYNOMIAL PARAMETRIZATION OF PYTHAGOREAN TUPLES ⋮ Remarks on Polynomial Parametrization of Sets of Integer Points ⋮ Polynomial parametrization of Pythagorean quadruples, quintuples and sextuples ⋮ Parametrization of integral values of polynomials ⋮ Parametrizing Over ℤ Integral Values of Polynomials Over ℚ ⋮ Polynomial parametrization of the solutions of Diophantine equations of genus 0

Cites Work

• Polynomial parametrization for the solutions of Diophantine equations and arithmetic groups
• Elasticity for integral-valued polynomials
• Irreducible polynomials and full elasticity in rings of integer-valued polynomials
• Integer-Valued Polynomials
• Remarks on Polynomial Parametrization of Sets of Integer Points
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