Mangoldt function

The Mangoldt functionMathworldPlanetmath Λ is defined by

Λ(n)={lnp,if n=pk, where p is a prime and k is a natural number 10,otherwise

The Moebius Inversion Formula leads to the identity Λ(n)=d|nμ(n/d)lnd=-d|nμ(d)lnd.

Title Mangoldt function
Canonical name MangoldtFunction
Date of creation 2013-03-22 11:47:06
Last modified on 2013-03-22 11:47:06
Owner KimJ (5)
Last modified by KimJ (5)
Numerical id 10
Author KimJ (5)
Entry type Definition
Classification msc 11A25
Classification msc 18E30
Classification msc 81-00
Synonym von Mangoldt function