WOLFRAM|DEMONSTRATIONS PROJECT

Multiplicative Functions

function

Euler's totient ϕ

range

30

A multiplicative function is a function

f:

+





+



such that if

m

and

n

are relatively prime, then

f(mn)=f(m)f(n)

. The plots on the left and right are of

f(mn)

and

f(m)f(n)

, which may differ where

(m,n)≠1

.