🌙

☰

Additive function

In number theory, an additive function is an arithmetic function f(n) of the positive integer variable n such that whenever a and b are coprime, the function applied to the product ab is the sum of the values of the function applied to a and b: f ( a b ) = f ( a ) + f ( b ) . {\displaystyle f(ab)=f(a)+f(b).} It follows that for any additive function, f (…

Products, Examples & Summatory functions