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oai:tokushima-u.repo.nii.ac.jp:02004098 2025-04-28T08:02:25Z 1713829974766:1713854679917:1716360594052 1713853213384:1713853297799

Products of Arithmetic Progressions which are Squares 片山, 真一 1028 カタヤマ, シンイチ 60466/profile-ja.html Katayama, Shin-ichi 70194777 In this short note, we shall give a result similar to Y. Zhang and T. Cai [5] which states the diophantine equation (x − b)x(x + b)(y − b)y(y + b) = z2 has infinitely many nontrivial positive integer solutions (x, y, z) when b(≥ 2) is even. We shall show this diophantine equation also has infinitely many nontrivial positive integer solutions when integers b is divisible by a prime p(≡ ±1 mod 8). departmental bulletin paper 2015 VoR application/pdf Journal of Mathematics 49 9 12 13467387 AA11595324 https://tokushima-u.repo.nii.ac.jp/record/2004098/files/jm_49_9.pdf https://tokushima-u.repo.nii.ac.jp/records/2004098 eng