Definition:Von Mangoldt Function

The Von Mangoldt function (also known as the Mangoldt function) $$\Lambda \ $$ is defined as:


 * $$\Lambda \left({n}\right) = \begin{cases}

\ln p & : \exists m \in \N, p \in \mathbb{P}: n = p^m \\ 0 & : \mbox{otherwise} \end{cases}$$

where $$\mathbb{P}$$ is the set of all prime numbers.