##  [Möbius Function](/index.php/mobius-function) 

  ##  [Möbius Function](https://puremath.quantumdictionary.io/mobius-function-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

Multiplicative arithmetic function μ(n) taking values in {−1, 0, 1}: μ(n)=0 if n is divisible by the square of a prime, and otherwise μ(n)= (−1)^{r} where r is the number of distinct prime factors of n.