| 不定方程组{11x~2-9y~2=2,40y~2-11z~2=29}的正整数解的上界 |
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| 引用本文： | 郑兆顺.不定方程组{11x~2-9y~2=2,40y~2-11z~2=29}的正整数解的上界[J].数学的实践与认识,2008,38(11). |
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| 作者姓名： | 郑兆顺 |
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| 摘 要： | 运用Baker方法得到了不定方程组{11x~2-9y~2=2,40y~2-11z~2=29}的正整数解的上界.上界为(x,y,z)=(0.9×2118406,2118406,0.52×2118406).
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| 关 键 词： | 不定方程组 解的上界 Baker方法 |
On the Upper Bound for the Positive Integer Solutions of the System of Diophantine Equations{11x2-9y2=2 40y2-11z2=29 |
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| ZHENG Zhao-shun.On the Upper Bound for the Positive Integer Solutions of the System of Diophantine Equations{11x2-9y2=2 40y2-11z2=29[J].Mathematics in Practice and Theory,2008,38(11). |
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| Authors: | ZHENG Zhao-shun |
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| Abstract: | By Baker′s method,this paper solutes the upper bound for the positive integer solutions of the system of Diophantine equations {11x~2-9y~2=2,40y~2-11z~2=29},and the upper bounds are(x,y,z)=(0.9×2118406,2118406,0.52×2118406). |
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| Keywords: | Diophantine equations system the upper bound of solutions Baker′s method |
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