摘要
设a,b,c是正整数,p,q是不同奇素数,200<max{p,q}<300.讨论了丢番图方程ax+by=cz的一个特殊情形.借助计算机,利用初等方法和高等方法的结果给出了指数丢番图方程px+qy=2z的全部非负整数解.
In the report,let a,b,c be positive integers and p,q be odd primes with 200 〈max { p,q}〈 300,a special case of the diophantine equation,a^x＋ b^y= c^z,was discussed. With the help of computer,The elementary method. and advanced method were used to obtain all the nonnegative integer solutions of the exponential diophantine equation,px＋ qy= 2z.
出处
《海南大学学报（自然科学版）》
CAS
2014年第3期197-199,216,共4页
Natural Science Journal of Hainan University
关键词
指数丢番图方程
非负整数解
计算机辅助解法
exponential diophantine equation
nonnegative integer solution
computer-aided solution.
