POLYNOMIAL PARAMETRIZATION OF PYTHAGOREAN TUPLES

DOI10.1142/S1793042110003496zbMath1237.11015OpenAlexW1988514752WikidataQ114072058 ScholiaQ114072058MaRDI QIDQ3162624

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

Publication date: 20 October 2010

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042110003496

zbMATH Keywords

fieldspolynomial ringsorthogonal transformationspolynomial parametrizationPythagorean tuples

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Quadratic and bilinear Diophantine equations (11D09) Quadratic forms over global rings and fields (11E12)

Related Items (2)

Pythagorean-hodograph curves in Euclidean spaces of dimension greater than 3 ⋮ A new approach to generate all Pythagorean triples

Cites Work

• Unnamed Item
• Non-existence of rational arc length parameterizations for curves in \(\mathbb R^n\)
• Apollonian circle packings: Number theory
• Parametrization of Pythagorean triples by a single triple of polynomials

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