| 连分数求解一次不定方程 |
| |
| 引用本文： | 高丽. 连分数求解一次不定方程[J]. 西南民族学院学报(自然科学版), 2009, 35(1): 1-3 |
| |
| 作者姓名： | 高丽 |
| |
| 作者单位： | 延安大学数学与计算机科学学院,陕西延安716000 |
| |
| 基金项目： | 国家自然科学基金，陕西省教育厅专项基金 |
| |
| 摘 要： | 从连分数求解二元一次不定方程展开讨论，结合连分数的基本性质，运用连分数（a0，1，a2，a3，…，an）的渐近分数pn／Qn的基本关系和不定方程整数解的充要条件，得出连分数求解不定方程的公式，并推广到求解多元一次不定方程．
|
| 关 键 词： | 不定方程 连分数 特解 奇偶性 渐近分数 |
The continued fraction method of solving simple indefinite equations |
| |
| GAO Li. The continued fraction method of solving simple indefinite equations[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2009, 35(1): 1-3 |
| |
| Authors: | GAO Li |
| |
| Affiliation: | GAO Li (School of Mathematics and Computer Science, Yan＇an University, Yan＇an 71600, P.R.C.) |
| |
| Abstract: | This paper begins with continued fraction method of solving binary simple indefinite equations, and uses the basic relationship of convergent Pn/Qn of continued fraction 〈a0,1,a2,a3,…,an〉and the necessary and sufficient conditions of the integer solution to indefinite equations. Then this problem is generalized to the continued fraction method of solving multivariate simple indefinite equations. |
| |
| Keywords: | indefinite equation continued fraction particular solution parity convergent |
| 本文献已被 维普 万方数据 等数据库收录！ |
