Relation between divisor functions
 

Does anybody know anything about the relation between sigma(n) and d(n) and about sigma(n)/d(n)?

[QUOTE=Crook]Does anybody know anything about the relation between sigma(n) and d(n) and about sigma(n)/d(n)?[/QUOTE]

Yes.

And what is the relation between these 2 functions?

[QUOTE=Crook]And what is the relation between these 2 functions?[/QUOTE]

You didn't ask that question!!


Are you looking for the normal order, or the average order?

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.

[QUOTE=Crook]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.[/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.