| 关于不定方程x^3＋1=57y^2 |
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| 引用本文： | 刘杰.关于不定方程x^3＋1=57y^2[J].成都大学学报(自然科学版),2009,28(4):308-311. |
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| 作者姓名： | 刘杰 |
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| 作者单位： | 三明职业技术学院,福建,三明,365000 |
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| 摘 要： | 应用递归数列、同余式证明了丢番图方程x^3＋1=57y^2仅有整数解（x,y）=（-1,0）,（8,±3）.
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| 关 键 词： | 丢番图方程 整数解 递归数列 平方剩余 |
Indeterminate Equation of x~3+1=57y~2 |
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| LIU Jie.Indeterminate Equation of x~3+1=57y~2[J].Journal of Chengdu University (Natural Science),2009,28(4):308-311. |
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| Authors: | LIU Jie |
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| Institution: | LIU Jie(Sanming Vocational , Technical College,Sanming 365000,China) |
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| Abstract: | Recursive sequence and congruence are used to prove that Diophantine equation of x3+1=57y2 has only integer solution and it is(x,y)=(-1,0),(8,±3). |
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| Keywords: | Diophantine Equation integer solution recursive sequence quadratic residue |
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