##  [Logarithmic Density](/logarithmic-density) 

  ##  [Logarithmic Density](https://puremath.quantumdictionary.io/logarithmic-density-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A weighted notion of density for a set A of positive integers defined, when it exists, by the limit as x→∞ of (1 / log x) Σ_{n≤x, n∈A} 1/n; it measures the proportion of A with harmonic weighting rather than counting measure.