| 关于丢番图方程pX4-(p-1)y2=z4 |
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| 引用本文： | 熊丽华.关于丢番图方程pX4-(p-1)y2=z4[J].辽宁师专学报(自然科学版),2012,14(3):1-4,6. |
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| 作者姓名： | 熊丽华 |
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| 作者单位： | 辽宁轻工职业学院,辽宁大连,116100 |
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| 摘 要： | 姜信君等利用初等方法给出了丢番图方程px4-(p-1)y2=x4当p=2q+1,q≡5(mod8),p,q为奇素数时的全部正整数解.但由于篇幅限制,并未给出全部证明,我们给出了补充证明.
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| 关 键 词： | 丢番图方程 正整数解 两两互素 |
On Diophantine Equation px~4-(p-1)y~2=z~4 |
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| XIONG Li-hua.On Diophantine Equation px~4-(p-1)y~2=z~4[J].Journal of Liaoning Teachers College(Natural Science Edition),2012,14(3):1-4,6. |
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| Authors: | XIONG Li-hua |
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| Institution: | XIONG Li-hua(Liaoning Vocational College of Light Industry,Dalian Liaoning 116100) |
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| Abstract: | As for Diophantine Equation px^4-（p-1）y^2=z^4, when p=2q＋1 ,q=5（mod8） ,p,q are all odd prime integers, all positive integer solutions were listed by Jiang Xinjun et al by using the elementary method. Because of space limitation, the paper just lists the complementary proof not the whole process of proving. |
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| Keywords: | Diophantine Equation positive integer solution prime to each other |
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