This is nice and it shouldn't be hard: Let be the number ofdistinctprime factors of We define Evaluate

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- Jan 5th 2009, 12:38 PMNonCommAlgA Series!
This is nice and it shouldn't be hard: Let be the number of

*distinct*prime factors of We define Evaluate - Jan 5th 2009, 02:35 PMPaulRS
It's fairly easy to see that is multiplicative ( i.e. given we have )

Then:

Now:

;

Hence:

Set to get: since - Jan 5th 2009, 03:09 PMNonCommAlg