| 关于不定方程x~2+y~2+z~2=2w~2的解的研究 |
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| 引用本文： | 牛普选.关于不定方程x~2+y~2+z~2=2w~2的解的研究[J].开封大学学报,1999(2). |
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| 作者姓名： | 牛普选 |
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| 作者单位： | 开封市教育学院!开封，475004 |
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| 摘 要： | 对不定式x~2+y~2+z~2=2w~2的非零整数解进行变换，找到了变换矩阵，并通过变换矩阵和若干个易求出的解，得到了该方程的若干组解。进而求出了一个古典刁番都方程组的若干组正整数解。
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| 关 键 词： | 不定方程 正整数解 解变换矩阵 |
On the Solution of the Indeterminate Equation x~2 + y~2 + z~2 = 2w~2 |
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| Niu Puxuan.On the Solution of the Indeterminate Equation x~2 + y~2 + z~2 = 2w~2[J].Journal of Kaifeng University,1999(2). |
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| Authors: | Niu Puxuan |
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| Abstract: | The solution mainly involves in twO steps: 1 )find foe variation matrix through the variation of the nonzero integer solution of the indeterminate equation x2 +y2+ z2 = 2w2; 2)get several sets of solutions of the equation through the vanation matrix and several easily - found solutions. Based on the above two steps, a number sets of positive integer solutions of a classic equation series have been found. |
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| Keywords: | indeterminate equation positive integer solution solve the variation matrix |
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