# von Mangoldt function

> English word · Proper noun

## Definitions
1. A certain arithmetic function that is neither multiplicative nor additive. It is denoted by Λ(n) and defined as :Λ(n)= log p mbox ifn=pᵏ mbox forsomeprimep mbox andintegerk>1,\0 mbox otherwise.

## Etymology
Named after the German mathematician Hans von Mangoldt.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/von-mangoldt-function