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oai:tokushima-u.repo.nii.ac.jp:02000483 2025-04-28T08:02:22Z 1713829974766:1713854679917:1716360611012 1713853213384:1713853297799

Several Methods for Solving Simultaneous Fermat-Pell Equations 70194777 片山, 真一 カタヤマ, シンイチ Katayama, Shin-ichi 片山 カタヤマ Katayama 真一 シンイチ Shin-ichi open access In our previous papers [12] and [13] , we have exhibited the structure of certain real bicyclic biquadratic fields and as a byproduct solved the simultaneous Fermat-Pell equations x^2-3y^2=1, y^2-2z^2=-1 have only one non-negative integer solution: (x, y, z)=(2, 1, 1). In this paper, we shall investigate similar simultaneous Fermat-Pell equations and solve them by several different methods. 2000-01-29 eng departmental bulletin paper VoR 61731 https://tokushima-u.repo.nii.ac.jp/records/2000483 00754293 AA00701816 Journal of mathematics, Tokushima University 33 1 14 https://tokushima-u.repo.nii.ac.jp/record/2000483/files/KJ00004258517.pdf application/pdf 561 KB 2010-01-24