| 关于丢番图方程px^4-（p-2）y^2=2z^4 |
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| 引用本文： | 王义锦,佟瑞洲. 关于丢番图方程px^4-（p-2）y^2=2z^4[J]. 海南师范大学学报(自然科学版), 2014, 0(4): 386-388 |
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| 作者姓名： | 王义锦 佟瑞洲 |
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| 作者单位： | 1. 建平县高级中学,辽宁 建平,122400
2. 朝阳师范高等专科学校,辽宁 朝阳,122000 |
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| 摘 要： | 利用初等方法给出了丢番图方程px^4-（p-2）y^2=2z^4当p=Q^2＋2为奇素数时的全部正整数解,从而拓展了Mordell等学者关于ax^4＋by^4=cz^2的结果.
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| 关 键 词： | 丢番图方程 正整数解 两两互素 |
Study of Diophantine Equation px4-(p-2)y2=2z4 |
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| WANG Yijin,TONG Ruizhou. Study of Diophantine Equation px4-(p-2)y2=2z4[J]. Journal of Hainan Normal University:Natural Science, 2014, 0(4): 386-388 |
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| Authors: | WANG Yijin TONG Ruizhou |
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| Affiliation: | WANG Yijin, TONG Ruizhou ( 1. Jianping Senior Middle School, Jianping 122400, China; 2. Chaoyang Teachers College, Chaoyang 122000, China) |
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| Abstract: | When p=Q^2＋2, p is odd prime, we give all positive integer solutions to the Diophantine equation px^4- （p-2）y^2= 2z4 by the elementary methods. Thereby we expanded the result of equation ax^4by^4cz^2 which was studied by Mordell etc. |
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| Keywords: | diophantine equation positive integer solution prime to each other |
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