| 一次同系数不定方程的解数问题探究 |
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| 引用本文： | 杜先存.一次同系数不定方程的解数问题探究[J].文山师范高等专科学校学报,2012,25(3):40-42. |
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| 作者姓名： | 杜先存 |
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| 作者单位： | 红河学院教育学院,云南蒙自,661100 |
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| 摘 要： | 文章将一次不定方程转化为指数方程，利用二项式定理及幂级数的相关知识，得出了一次同系数不定方程的正整数解、非负整数解的解数．
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| 关 键 词： | 不定方程 正整数解 非负整数解 |
The Solution of the Linear Diophantine Equation in Which the Coefficient Is the Same |
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| DU Xian-cun.The Solution of the Linear Diophantine Equation in Which the Coefficient Is the Same[J].Journal of Wenshan Teachers College,2012,25(3):40-42. |
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| Authors: | DU Xian-cun |
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| Institution: | DU Xian-cun (Teachers＇ Education College, Honghe University, Mengzi 661100, China) |
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| Abstract: | By translating the linear Diophantine equations in which the coefficient is the same into exponential equations,and using related knowledge of Binomial Theorem and power series,the paper works out the number of all positive integer solutions and all non-negative integer solutions of the Linear Diophantine equations in which the coefficient is the same. |
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| Keywords: | Indeterminate equation positive integer solution non-negative integer solution |
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