| In the first chapter of this paper, we introduce the definition of the greatest common divisor,congruence, chinese remainder theorem,multiplicative function, and so on. In the second chapter, we give a formula of fk(1,n) and discuss the monotonicity of fk(1,n) on k. The third chapter,we compare fk(a,n) and fk(1,n), and obtain a size relationship between them. In the fourth chapter,we will further analysis fk(a,n). |
