| 关于丢番图方程x~4-py~4=z~2 |
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| 引用本文： | 佟瑞洲,王振堂.关于丢番图方程x~4-py~4=z~2[J].鞍山科技大学学报,2011(2). |
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| 作者姓名： | 佟瑞洲 王振堂 |
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| 作者单位： | 朝阳师范高等专科学校;朝阳市财经学校; |
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| 基金项目： | 辽宁省教育厅科研立项课题(20401232) |
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| 摘 要： | 利用初等方法给出了丢番图方程x4-py4=z2,(x,y)=1,2|y当p=Q2+1,p为奇素数时的全部正整数解,从而拓展了Mordell关于x4-py4=z2的结果。
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| 关 键 词： | 丢番图方程 正整数解 两两互素 |
Study on Diophantine equation x~4-py~4=z~2 |
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| TONG Rui-zhou,WANG Zhen-tang.Study on Diophantine equation x~4-py~4=z~2[J].Journal of Anshan University of Science and Technology,2011(2). |
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| Authors: | TONG Rui-zhou WANG Zhen-tang |
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| Institution: | TONG Rui-zhou1,WANG Zhen-tang2(1.Chaoyang Teachers College,Chaoyang 122000,China,2.Chaoyang School Finance,China) |
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| Abstract: | All positive integer solutions to the Diophantine equation x4-py4=z2,(x,y)=1,2|y are given by the elementary methods on condition that p=Q2+1,therefore the result of equation x4-py4=z2 studied by Mordell is developed.. |
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| Keywords: | diophantine equation positive integer solution prime to each other |
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