摘要
应用连分数的相关知识得出了形如Ax2-(A-1)y2=1(A∈Z+,A≥2)型Pell方程解的一个结果,清晰地表述了形如Ax2-(A-1)y2=1(A∈Z+,A≥2)型Pell方程的整数解的解集,同时得出形如Ax2-(A+1)y2=1(A∈Z+,A≥2)型Pell方程的解的情况。
By applying related knowledge of continued fraction,it works out a result of solution with the set of Pell Equation Ax2-(A-1)y2=1(A∈Z+,A≥2),positive integer solutions of Pell Equation Ax2-(A-1)y2=1(A∈Z+,A≥2) is given completely and distinctly, and it works out a result of solution with the set of Pell Equation Ax2-(A-1)y2=1(A∈Z+,A≥2).
出处
《保山学院学报》
2012年第2期57-59,共3页
JOURNAL OF BAOSHAN UNIVERSITY
关键词
PELL方程
正整数解
整数解
连分数
Pell Equation
Positive Integer Solution
Integer Solution
Continued Fraction