纺织高校基础科学学报2003，Vol.16Issue(2)：99-101,3.
关于指数Diophantine方程ax+dby=cz
On the exponential Diophantine equation ax+dby=cz
摘要
Abstract
Let a,b,c,d,l,m,n be fixed positive integers satisfying al+dbm=cn,gcd(a,db)=1,l＞1,m＞1 and n＞1.It was prove that if a≡3(mod8),2‖b,c is a prime power,(b/a)=-1,(d/a)=1 and l=m=2,then the equation ax+dby=cz has only one positive integer solution (x,y,z)=(2,2,n) satisfying x＞1,y＞1 and z＞1.关键词
指数Diophantine 方程/正整数解/完全确定Key words
exponential Diophantine equation/positive integer solution/complete deterimination分类
数理科学引用本文复制引用
乐茂华..关于指数Diophantine方程ax+dby=cz[J].纺织高校基础科学学报,2003,16(2):99-101,3.基金项目
The National Natural Science Foundation of China(No.10271104),the Guangdong Provincial Natural Science Foundation(No.011871) and the Natural Science Foundation of the Education Departement of Guangdong Province(No.0161). （No.10271104）
