Loading ...
Sorry, an error occurred while loading the content.

18892Fwd: Re: Graph for factors

Expand Messages
  • Phil Carmody
    May 1, 2007
      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

      () ASCII ribbon campaign () Hopeless ribbon campaign
      /\ against HTML mail /\ against gratuitous bloodshed

      [stolen with permission from Daniel B. Cristofani]

      Do You Yahoo!?
      Tired of spam? Yahoo! Mail has the best spam protection around