2026-03-10T18:40:00Z https://tokushima-u.repo.nii.ac.jp/oai

oai:tokushima-u.repo.nii.ac.jp:02002173 2025-04-28T08:02:24Z 1713829974766:1713854679917:1716360602628 1713853213384:1713853297799

Modified Farey Trees and Pythagorean Triples 片山, 真一 1028 カタヤマ, シンイチ 60466/profile-ja.html Katayama, Shin-ichi 70194777 In 1963, F. J. M. Barning discovered a ternary tree of primitive Pythagorean triples, where each triple is transformed to other three triples by three distinct 3 × 3 unimodular matrices. This fact has been rediscovered many times. In this paper, we shall give an elementary explanation of this fact using classical Euclidean parametrization of primitive Pythagorean triples and modified ternary Farey trees. departmental bulletin paper 2013 VoR application/pdf Journal of mathematics, the University of Tokushima 47 1 13 13467387 AA11595324 https://tokushima-u.repo.nii.ac.jp/record/2002173/files/LID201312112002.pdf https://tokushima-u.repo.nii.ac.jp/records/2002173 eng