| 不定方程ab+cd=ef的解 |
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| 引用本文： | 周泽文.不定方程ab+cd=ef的解[J].长沙大学学报,2006,20(2):10-11. |
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| 作者姓名： | 周泽文 |
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| 作者单位： | 玉林师范学院数学与计算机科学系,广西,玉林,537000 |
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| 摘 要： | 对不定方程ab cd=ef(a,b,c,d,e,f∈{n,n 1,n 2}),当六个参数a、b、c、d、e、f中有三个取n 2、两个取n 1、一个取n的形式进行了分类,并对它们的解的存在性进行了研究,获得了全部可能的解.
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| 关 键 词： | 不定方程 正整数解 存在性 |
| 文章编号： | 1008-4681（2006）02-0010-02 |
| 收稿时间： | 2005-09-02 |
| 修稿时间： | 2005-11-02 |
The Solution of the Diophantine Equation |
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| ZHOU Zewen.The Solution of the Diophantine Equation[J].Journal of Changsha University,2006,20(2):10-11. |
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| Authors: | ZHOU Zewen |
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| Abstract: | This paper discusses the solution of the diophantine equation in a special situation,that is the solution of all the formed equations when there are three n 2,two n 1 and one n in a,b,c,d,e,f by the method of elementary mathematics,and provides a practical and liable method for the solutions to all possibly-formed equa(tions. ) |
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| Keywords: | diophantine equation positive integral solution existence |
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