From: kfoster5018@my-deja.com
Subject: Re: Number theory linked to quantum physics.
Date: Fri, 02 Feb 2001 01:55:22 GMT
Newsgroups: sci.math,sci.physics
Summary: Erdos-Kac Theorem on the distributions of the numbers of prime divisors

In article <95c4qm$tjt$1@nnrp1.deja.com>,
  Robert Clark <rgclark@my-deja.com> wrote:
>
>
> SOMETHING STRANGE IS GOING ON!
> Science Frontiers ONLINE
> No. 111: May-Jun 1997
> http://www.science-frontiers.com/sf111/sf111p00.htm

  The description there says:

+ In an homage to the revered mathematician P. Erdos,
+ who died September 20, 1996, D. Mackenzie mentioned
+ a theory Erdos published in 1940 with M. Kac. This
+ theory states that a plot of the number of prime
+ factors of very large numbers forms a bell curve --
+ almost as if these numbers were "choosing" their
+ prime factors at random.

  The folks at science-frontiers evidently don't know the difference
between a "theory" and a THEOREM.  Sheesh!
  As to what the Erdos-Kac Theorem actually SAYS, well, it's
in "Probabilistic Number Theory" (volume II) by P.D.T.A Elliot.  But
there wouldn't be much point explaining it to folks who don't know the
difference between a theory and a theorem ;-)


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