Definition:Von Mangoldt Function

Definition

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

$\Lambda \left({n}\right) = \begin{cases} \ln p & : \exists m \in \N, p \in \mathbb P: n = p^m \\ 0 & : \text{otherwise} \end{cases}$

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

Source of Name

This entry was named for Hans von Mangoldt.