摘要
设(a,b,c)是一组Eisenstein数,证明了:当2|ab且c是素数方幂时,方程a2x+axby+b2y=cz仅有正 整数解(x,y,z)=(1,1,2).
Let (a,b,c) be an Eisenstein triple. It is proved that if 2 |ab and c is a prime power,then the equation a2x+axby+b2y=cz has only the positive integer solution (x,y,z)=(1,1,2).
出处
《纺织高校基础科学学报》
CAS
2003年第4期281-283,共3页
Basic Sciences Journal of Textile Universities
基金
The national natural,science foundation of China(10271104)
the guangdong provincial natural science foundation(011781)
the natural science foundation of the education department of guangdong province(0161)
