| 关于丢番图方程x~2+3~a11~b=y~n(英文) |
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| 引用本文： | 马永刚.关于丢番图方程x~2+3~a11~b=y~n(英文)[J].西南民族学院学报(自然科学版),2010,36(2):182-184. |
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| 作者姓名： | 马永刚 |
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| 作者单位： | 中国矿业大学银川学院,宁夏银川,750012 |
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| 基金项目： | Supported by the Provincial Educational Commission Science Foundation of Shanxi(07JK430) |
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| 摘 要： | 本文利用代数数论的方法讨论丢番图x2+3a11b=yn (n=3,5)的解的情况.
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| 关 键 词： | 丢番图方程 整数解 椭圆曲线 |
On the Diophantine equation x~2+3~a11~b=y~n |
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| MA Yong-gang.On the Diophantine equation x~2+3~a11~b=y~n[J].Journal of Southwest Nationalities College(Natural Science Edition),2010,36(2):182-184. |
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| Authors: | MA Yong-gang |
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| Institution: | MA Yong-gang(Yinchuan College,China University of Mining , Technology,Yinchuan 750012,P.R.C.) |
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| Abstract: | In this paper,we find all the solutions the Diophantine equation x2+3a11b=yn(n=3,5)in positive integer x,y,a,b with x and y coprime. |
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| Keywords: | Diophantine equation integral point elliptic curve |
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