Definition:Ordinary Mean Value

Definition
Let $f:\N\to\C$ be an arithmetic function.

The (ordinary) mean value of $f$ is the limit:
 * $M(f) = \displaystyle \lim_{x\to\infty}\frac 1x\sum_{n\leq x} f(n)$

if it exists.

Also see

 * Definition:Logarithmic Mean Value