Multiplicative functions
= Multiplicative functions
{wiki=Multiplicative_functions}
A multiplicative function is a type of arithmetic function that has a specific property concerning the values it takes on divisors of integers. Specifically, a function \\( f \\) defined on the positive integers is said to be multiplicative if it satisfies the following two conditions: 1. **Base Case**: \\( f(1) = 1 \\).