---
tag: 0NK8JTE1NN
kind: concept
name: von Mangoldt function
msc: [11A25]
sources:
  - url: https://en.wikipedia.org/wiki/Von_Mangoldt_function
    locator: lead section
same_as:
  wikidata: Q282327
  wikipedia: Von Mangoldt function
---

## Summary

The von Mangoldt function $\Lambda$ takes the value $\log p$ at each power of a prime $p$, and $0$ at all other positive integers.
The [[definition of the von Mangoldt function|087EMZTHWN]] gives the precise form.