2026-03-10T18:32:46Z https://tokushima-u.repo.nii.ac.jp/oai

oai:tokushima-u.repo.nii.ac.jp:02002513 2025-04-28T08:02:24Z 1713829974766:1713854679917:1716360594612 1713853213384:1713853297799

Diophantine Equations and Hilbert's Theorem 90 片山, 真一 1028 カタヤマ, シンイチ 60466/profile-ja.html Katayama, Shin-ichi 70194777 In 1970, Olga Taussky has given a proof of the parameterization of primitive Pythagorean triples as a special case of Hilbert's Theorem 90 in [6]. Later this proof has been rediscovered by Noam Elkies in [1] and Takashi Ono in [5], independently. Here we shall notice the existence of a family of diophantine equations whose rational solutions can be parameterized by using Hilbert's Theorem 90. departmental bulletin paper 2014 VoR application/pdf Journal of mathematics, the University of Tokushima 48 1 6 13467387 AA11595324 https://tokushima-u.repo.nii.ac.jp/record/2002513/files/LID201505145004.pdf https://tokushima-u.repo.nii.ac.jp/records/2002513 eng