| 关于不定方程x3＋8=27y2 |
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| 引用本文： | 楼思远.关于不定方程x3＋8=27y2[J].渝州大学学报(自然科学版),2012(1):14-15. |
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| 作者姓名： | 楼思远 |
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| 作者单位： | 西南大学数学与统计学院,重庆400715 |
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| 摘 要： | 利用同余式，递归序列的有关性质和结论证明了不定方程x3＋8=27y2仅有整数解（x，y）=（-2，0）．
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| 关 键 词： | 不定方程 整数解 递归序列 |
On the Diophantine Equation x3＋8=27y2 |
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| Institution: | LOU Si -yuan ( School of Mathematics and Statistics, Southwest University. Chongqing 400715, China) |
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| Abstract: | By using the related properties and conclusions of congruence expression and recursive sequence, the author has proved that the Diophantine equation x3＋8=27y2 has only integer solution （x,y） = （ - 2,0）. |
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| Keywords: | Diophantine equation integer solution recursive sequence |
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