摘要
本文根据d^(1/2)表示循环连分数的特点,刻划了Pell方程x^2-dy^2=±1解的连分数结构。并给出x^2-y^2=-1有解的充分必要条件。
In this paper,we give fomulas of solutions of Pell's equations by continued fractions, and a necessary and suffiction condition that equation x2-dy2=-1 exists integral solutions.
出处
《黑龙江大学自然科学学报》
CAS
1989年第1期1-2,共2页
Journal of Natural Science of Heilongjiang University
关键词
PELL方程
连分数
方程解
Continued fraction, comerment, Pell's equation.