##  [Multiplicative Function](/index.php/multiplicative-function) 

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

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A multiplicative function is an arithmetic function f with f(1)=1 and the property f(mn)=f(m)f(n) whenever m and n are coprime. It is determined by its values at prime powers.