| 论不定方程x^2＋y^2=mz^2的解 |
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| 引用本文： | 戌士奎.论不定方程x^2＋y^2=mz^2的解[J].贵州大学学报(自然科学版),1993,10(1):17-21. |
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| 作者姓名： | 戌士奎 |
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| 作者单位： | 贵州教育学院 贵阳550003 |
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| 摘 要： | 过去仅在 m=1,2等特殊情况下研究不定方程 x~2+y~2=mz~2的解。本文给出这个不定方程有解的充分必要条件,并在有解时,对任意的 m 给出解的表达式。
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| 关 键 词： | 解 丢番图方程 |
The Discussion on Solutions of Indeterminate Equation x~2+y~2=mz~2 |
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| Rong Shikui.The Discussion on Solutions of Indeterminate Equation x~2+y~2=mz~2[J].Journal of Guizhou University(Natural Science),1993,10(1):17-21. |
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| Authors: | Rong Shikui |
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| Abstract: | People had only studied solutions of indeterminate equation x~2+y~2=mz~2 under special conditions (m=1,2)in the past.This thesis gives not only the ample and prerequisite con- detions for that indeterminate equation which has solutions but also expression fomulas of those solutions for arbitrary m. |
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| Keywords: | Indeterminate equation Solutions |
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