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 :$\mathrm{\Lambda }(n)=\{\begin{array}{cc}\log p& \text{if }n=p^k\text{ for some prime }p\text{ and integer }k\ge 1,\\ 0& \text{otherwise.}\end{array}$