| 一类线性不定方程的非负整数解组数 |
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| 引用本文： | 马龙江.一类线性不定方程的非负整数解组数[J].衡水学院学报,2006,8(1):12-14. |
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| 作者姓名： | 马龙江 |
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| 作者单位： | 衡水中学,数学组,河北,衡水,053000 |
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| 摘 要： | 不定方程是数论的一个分支.所谓不定方程是指解的范围为整数、正整数、有理数或代数整数的方程或方程组,其未知数的个数通常多于方程的个数.在实际的应用中,不定方程的非负整数解组数备受人们的关注.通过讨论2个参数较小的线性不定方程的非负整数解的个数,给出了形如x ky (k 1)z=n的一类不定方程的非负整数解组的个数.
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| 关 键 词： | 不定方程 n元集的r-可重组合 非负整数解 |
| 文章编号： | 1673-2065(2006)01-0012-03 |
| 收稿时间： | 10 12 2005 12:00AM |
| 修稿时间： | 2005年10月12 |
The Number of Nonnegative Integeral Resolution of a Class of Indeterminate Equation |
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| MA Long-jiang.The Number of Nonnegative Integeral Resolution of a Class of Indeterminate Equation[J].Journal of Hengshui University,2006,8(1):12-14. |
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| Authors: | MA Long-jiang |
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| Institution: | Maths Group, Hengshui Middle School, Hengshui, Hebei 053000, China |
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| Abstract: | As a branch of the theory of numbers,the indeterminate equation is an equation whose solution can be integer,positive integer,rational number or algebraic integer.In practical applications,the number of non-negative integeral solution of indeterminate equation is often paid great attention to.According to the discussion of the two indeterminate equations with small parameters,the number of non negative integeral solution of indeterminate equation like the form of x ky (k 1)z=n is found.The number of nonneyative integeral solution of indeterminate equation like the form of x ky (k 1)z=n is found according to the discussion of the two indeter minate equation with small parameters. |
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| Keywords: | indeterminate equation r-repeatable combination on the set with n elements non-negative solution |
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