JIPAM

On the Symmetry of Square-Free Supported Arithmetical Functions in Short Intervals  
 
  Authors: Giovanni Coppola,  
  Keywords: Symmetry, Square-free, short intervals.  
  Date Received: 17/03/2003  
  Date Accepted: 02/04/2004  
  Subject Codes:

11N37, 11N36

  
  Editors: Alberto Fiorenza,  
 
  Abstract:

We study the links between additive and multiplicative arithmetical functions, say $ f$, and their square-free supported counterparts, i.e. $ % mu^2 f$ (here $ mu^2$ is the square-free numbers characteristic function), regarding the (upper bound) estimate of their symmetry around $ x$ in almost all short intervals $ [x-h,x+h]$.;


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