##  [Arithmetic Function](/arithmetic-function) 

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

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An arithmetic function is a map f from the positive integers N to the complex numbers C (or to another ring) that assigns numerical invariants to integers and encodes number-theoretic data about their factorization or divisors.