20051116, 15:28  #1 
Nov 2004
10_{16} Posts 
Relation between divisor functions
Does anybody know anything about the relation between sigma(n) and d(n) and about sigma(n)/d(n)?

20051116, 15:30  #2  
Nov 2003
2^{2}·5·373 Posts 
Quote:


20051116, 15:34  #3 
Nov 2004
2^{4} Posts 
And what is the relation between these 2 functions?
Last fiddled with by Crook on 20051116 at 15:34 
20051116, 15:40  #4  
Nov 2003
2^{2}·5·373 Posts 
Quote:
Are you looking for the normal order, or the average order? 

20051116, 15:42  #5 
Nov 2004
2^{4} Posts 
I thought the question was clear enough. I'm asking some general informations about the relation between these 2 functions. For instance, sigma(n)/d(n). I'd be interested in both the average order and the normal order.

20051116, 15:58  #6  
Nov 2003
2^{2}·5·373 Posts 
Quote:
The normal order doesn't exist for d(n). This is what makes your question less than trivial. Hardy & Wright has an excellent discussion of your questions. 

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