利用计算机辅助手段分类研究Pell方程  

A Study on the Classification of Pell Equation With the Aid of Computer Techniques

作　　者：王健鹰 高显文[2] 

机构地区：[1]昭通学院计算机科学系,云南昭通657000 [2]昭通学院数学系,云南昭通657000

出　　处：《昭通师范高等专科学校学报》2012年第5期24-26,共3页Journal of Zhaotong Teacher's College

摘　　要：通过编程,批量算出Pell方程中D值的算术平方根的循环连分数展开式的一个循环节,避免了繁琐、冗长的人工计算,根据循环节结构的相似性对D值分类,寻求相应类型的Pell方程最小解公式,为分类研究Pell方程提供一种新的有效方法.Through programming, a repetend of the periodic continued fraction of the arithmetic square root of D value is calculated from Pell Equation in batches. As a result, the complicated and interminable manual calculation is avoided. According to the classification of D value through the comparability of the repetend structure, the minimum solution for- mula of the corresponding type of Pell equation is found out, thus a new effective method for the classification research on Pell equation is provided.

关 键 词：计算机辅助 循环连分数 PELL方程 分类研究 

分 类 号：O156.7[理学—数学]