摘要
1941年,Ljunggren证明了Pell方程组x2-2y2=1 y2-3z2=1仅有正整数解x=3,y=2,z=1.1989年,曹珍富用Baker方法给出上述结果的一个证明。用递推序列法给出一个简洁的初等证明。
In 1941,Ljunggren proved that simultaneous Pell equations x2-2y2=1 and y2-3z2=1 have only positive integer solution x=3,y=2,z=1.In 1989,Cao Zhenfu gave a proof of the above results with Baker method.However we have given a simple elementary proof by recursive sequence method.
出处
《辽宁工业大学学报（自然科学版）》
2010年第6期398-399,共2页
Journal of Liaoning University of Technology(Natural Science Edition)
关键词
丢番图方程组
递推序列法
初等证明
正整数解
diophantine simultaneous equations
recursive sequence method
elementary proof
positive integer solution
