南京师大学报(自然科学版)Issue(3):44-47,4.
Pell方程x2-2 y2=1和y2-Dz2=4的公解
On the Solutions of the Pell Equation x2-2y2=1 and y2-Dz2=4
摘要
Abstract
In this paper,the following conclusion is proved:If D≢-1 ( mod 12 ) and D>0 is an odd squarefree integer which has 7 or 8 distinct prime factors,the equation x2-2y2=1 and y-Dz2=4 has only one trivial solution z=0.关键词
Pell方程/公共解/平凡解Key words
Pell equation/common solution/trivial solution分类
数理科学引用本文复制引用
任小枝..Pell方程x2-2 y2=1和y2-Dz2=4的公解[J].南京师大学报(自然科学版),2014,(3):44-47,4.基金项目
国家自然科学基金(11371195) (11371195)