| 摘要: |
| 本文研究了方程(x2-1)/(y2-1)=(z2-1)2.利用四次和二次方程的性质,获得了它的全部正整数解(x,y,z). |
| 关键词: 三元四次Diophantine方程 Pell方程 正整数解 |
| DOI： |
| 分类号:O156.7 |
| 基金项目:Supported by the National Natural Science Foundation of China(10971184); the Guangdong Provincial Natural Science Foundation(06029035) |
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| A RATIONAL FRACTIONAL DIOPHANTINE EQUATION |
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WU Hua-ming
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WU Hua-ming(School of Math.and Computational,Zhanjiang Normal College,Zhanjiang 524048,China)
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| Abstract: |
| In this article, we study equation (x2 - 1)/(y2 - 1) = (z2 - 1)2. By using some properties of quadratic and quartic Diophantine equations, all the positive integer solutions (x, y, z)of this equation are obtained. |
| Key words: ternary quadratic diophantine equation Pell's equation positive integer solution |
