Von Mangoldt Function Definition

A certain arithmetic function that is neither multiplicative nor additive . It is denoted by Λ (n) and defined as:\Lambda(n) = \begin{cases} \log p & \mbox{if }n=p^k \mbox{ for some prime } p \mbox{ and integer } k \ge 1, \\ 0 & \mbox{otherwise.} \end{cases}