Modified Farey trees and Pythagorean triples (Q2874938)

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scientific article; zbMATH DE number 6329630
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Modified Farey trees and Pythagorean triples
scientific article; zbMATH DE number 6329630

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    12 August 2014
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    modified Farey tree
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    Pythagorean triple
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    Modified Farey trees and Pythagorean triples (English)
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    In 1963 \textit{F. J. M. Barning} [Math. Centrum, Amsterdam, Afd. Zuivere Wisk. ZW 1963--011, 37 p. (1963; Zbl 0119.04401)] gave a systematic procedure to generate all primitive Pythagorean triples by using three distinct \(3\times 3\) unimodular matrices. In the paper under review the matrices of Barning are obtained using some modified Farey trees.
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