Jordan’s totient function

Let p be a prime, k and n natural numbersMathworldPlanetmath. Then


where the productPlanetmathPlanetmath is over divisorsMathworldPlanetmathPlanetmath of n.

This is a generalizationPlanetmathPlanetmath of Euler’s Totient Function.

Title Jordan’s totient function
Canonical name JordansTotientFunction
Date of creation 2013-03-22 11:42:21
Last modified on 2013-03-22 11:42:21
Owner akrowne (2)
Last modified by akrowne (2)
Numerical id 39
Author akrowne (2)
Entry type Definition
Classification msc 11-00
Classification msc 46M15
Classification msc 18C15