摘要
给出了不定方程组a2 x2 -a1y2 =a2 -a1,a3 y2 -a2 z2 =a3 -a2 有正整数解的一个充分必要条件以及当系数(a1,a2 ,a3 )满足条件 (a1,a2 ,a3 ) =1且a1a2 +1∈N2 或a2 -a1=1时求该不定方程组的非平凡正整数解的一个方法 .该方法可以在计算机上用“迭代”算法实现 .
In this paper the writer has shown us the method by which the unordinary positive integer of the nonfinite equation group can be obtained when the equation group a 2x 2-a 1y 2=a 2-a 1,a 3y 2-a 2z 2=a 3-a 2 has a fully necessary condition,a positive integer solution and the coefficients (a 1,a 2,a 3) have the condition (a 1,a 2,a 3)=1 along with (a 1+a 2+1∈N 2 or a 2-a 1=1.
出处
《四川师范学院学报（自然科学版）》
2002年第2期155-158,共4页
Journal of Sichuan Teachers College(Natural Science)
关键词
不定方程组
非平凡解
充分必要条件
基本解
迭代算法
正整数解
数论
nonfinite equation group
unordinary solution
fully necessary condition
fundamental solution
successive institution
