Symbols:Greek/Lambda/Von Mangoldt Function
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Von Mangoldt Function
- $\map \Lambda n$
The von Mangoldt function $\Lambda: \N \to \R$ is defined as:
- $\map \Lambda n = \begin {cases}
\map \ln p & : \exists m \in \N, p \in \mathbb P: n = p^m \\ 0 & : \text {otherwise} \end {cases}$
where $\mathbb P$ is the set of all prime numbers.
The $\LaTeX$ code for \(\map \Lambda n\) is \map \Lambda n .