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Fwd: Re: Graph for factors

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  • Phil Carmody
    This was presumably meant for the whole list. I m away from my library currently so don t have the refs to hand. ... () ASCII ribbon campaign ()
    Message 1 of 1 , May 1, 2007
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      This was presumably meant for the whole list. I'm away from my 'library'
      currently so don't have the refs to hand.

      --- gulland68 wrote:
      > Date: Tue, 01 May 2007 14:48:59 -0000
      > To: Phil Carmody
      >
      > {on the subject of the shape of the skewed bell curve for number of
      > factors beneath n):
      >
      > > The expected number of factors of x is ~ log(log(x)).
      > > I think Knuth, Pardo, and perhaps Kac had some theories along those
      > lines.
      > > See Riesel's PN&CMfF.
      > > I don't believe being squarefree changes anything significantly.
      >
      >
      > I am very keen to have a precise literary reference for this, if
      > anyone can help. Particularly, a reference on the proof that the
      > number of squarefree factors doesn't change the shape of it significantly.
      >
      > Thanks,
      > Tom
      >
      >


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