| 关于不定方程x^3+8=37y^2 |
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| 引用本文： | 楼思远.关于不定方程x^3+8=37y^2[J].重庆工商大学学报(自然科学版),2012,29(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 |
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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=37y2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 Equationx^3+8=37y^2 |
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| LOU Si-yuan.On the Diophantine Equationx^3+8=37y^2[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2012,29(1):14-15. |
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| Authors: | LOU Si-yuan |
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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 Equationx^3+8=37y^2 has only integer solution(x,y)=(-2,0) |
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| Keywords: | Diophantine equation ineger solution recursive sequence |
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