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,a1,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.
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.
出处
《西南民族大学学报（自然科学版）》
CAS
2009年第1期1-3,共3页
Journal of Southwest Minzu University(Natural Science Edition)
基金
国家自然科学基金资助项目(10271093)
陕西省教育厅专项科研计划项目(07JK430)
关键词
不定方程
连分数
特解
奇偶性
渐近分数
indefinite equation
continued fraction
particular solution
parity
convergent
