关于一次不定方程的非负整数解

On the Nonnegative Integral Solution of the Diophantine Equation ax + by = c

本文讨论整系数方程ax+by=c,(a,b,c>0,(a,b)=1.)的非负整数解的组数,同时给出一种解的求法.

This paper discusses the number of nonnegative integer solutions of the Diophantine equation ax+by=c (a, b, c>0, (a, b) = 1 ) , and gives a method to solue the equation .