##  [Von Mangoldt Function](/von-mangoldt-function) 

  ##  [Von Mangoldt Function](https://puremath.quantumdictionary.io/von-mangoldt-function-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

Arithmetic function Λ(n) defined by Λ(n)=log p if n is a positive integer equal to p^k for some prime p and integer k≥1, and Λ(n)=0 otherwise; used to weight prime powers in explicit formulas.