| 带限制条件的不定方程正整数解的计数问题 |
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| 引用本文： | 陈金阳,熊莎. 带限制条件的不定方程正整数解的计数问题[J]. 黄石理工学院学报, 2011, 27(1): 37-39. DOI: 10.3969/j.issn.1008-8245.2011.01.010 |
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| 作者姓名： | 陈金阳 熊莎 |
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| 作者单位： | 湖北师范学院,数学与统计学院,湖北,黄石,435002 |
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| 基金项目： | 湖北省教育厅青年项目，湖北师范学院人才引进项目，湖北师范学院创新团队项目 |
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| 摘 要： | 文章研究了一类整系数不定方程整数解的计数问题,将组合数学中的一个基本定理加以推广,得到一些未知数带有限制条件的多元一次不定方程的非负整数解的计数公式.
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| 关 键 词： | 不定方程 计数问题 组合数学 |
Promotion and Application of Integer SolutionCounting Question for Indeterminate Equation |
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| CHEN Jinyang,XIONG Sha. Promotion and Application of Integer SolutionCounting Question for Indeterminate Equation[J]. Journal of Huangshi Institute of Technology, 2011, 27(1): 37-39. DOI: 10.3969/j.issn.1008-8245.2011.01.010 |
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| Authors: | CHEN Jinyang XIONG Sha |
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| Affiliation: | CHEN Jinyang XIONG Sha(School of Mathematics and Statistics,Hubei Normal University,Huangshi Hubei 435002) |
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| Abstract: | In this paper,the enumeration question of the integer solution for some indeterminate equations with integer coefficient is studied.The elementary theorem has been promoted.Some counting formulas about indeterminate equations with restricted integer coefficient will be obtained. |
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| Keywords: | indeterminate equation enumeration problem combinatorics |
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