摘要
讨论了不定方程G:∑8i=11/xi-∏8i=11/xi=1,给出了方程解序列的递归性和求解的一个充要条件,同时证明了方程G仅有正整数解适合x1=2.
In the report, the Diophantine equation
was discussed, and the recursiveproperty of the solution sequence and a sufficient and necessary condition of finding solutions were given. It was proved that the equation G has only positive integral solutions which are fit for that x1 = 2.
出处
《海南大学学报（自然科学版）》
CAS
2014年第1期15-20,共6页
Natural Science Journal of Hainan University
基金
江苏省教育科学"十二五"规划课题项目(D201301083)
泰州学院重点课题项目(TZXY2013ZDKT002)
关键词
不定方程
解数
真因数
解序列
Diophantine equation
solution numbers
proper factor
solution sequence
