von Mangoldt function

English

Etymology

Named after the German mathematician Hans von Mangoldt.

Proper noun

von Mangoldt function

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