2015年12月
Products of Arithmetic Progressions which are Squares
Journal of Mathematics, The University of Tokushima
- 巻
- 49
- 号
- 開始ページ
- 9
- 終了ページ
- 12
- 記述言語
- 英語
- 掲載種別
- 出版者・発行元
- 徳島大学
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) = z2has 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).
- リンク情報
- ID情報
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- ISSN : 1346-7387
- CiNii Articles ID : 110010022401
- CiNii Books ID : AA11595324