摘要
利用不定方程x2-Dy2=C(D∈N,C∈Z-{0})的整数解的结构,给出了不定方程组9x2-7y2=2,32y2-9z2=23的所有正整数解的一个表达式.由这个表达式,经过初等计算。
By the structure of integer solutions of the diophantine equation x2-Dy2=C (D ∈ N, C ∈Z - {0} ), this paper gives an expression of the positive integer solutions of the system of diophantine equations 9x2-7y2=2, 32y2-9z2=23.According to the expression, one can obtain the positive integer solutions of this system of diophantine equations by elementary calculating.
出处
《华中师范大学学报(自然科学版)》
CAS
CSCD
1996年第1期24-28,共5页
Journal of Central China Normal University:Natural Sciences
关键词
不定方程组
正整数解
基本解
a system of diophantine equations
positive integer solution
fundamental solution