Smooth Numbers

Yamato · 2005-12-11, 10:36

Hello,

Can someone give me a paper where the density of smooth numbers is precisely described (and proven). Especially the proofs of some theorems (e.g. Dickman or Canfield/Erdös/Pomerance) are important.

akruppa · 2005-12-11, 11:09

Pretty much the standard paper on Dickman's function is Knuth and Trapp-Pardo, Analysis of a simple factorization algorithm, Theoretical Computer Science 3, 1976. If you use Citeseer on this paper you can find a host of newer publications on the subject.

Alex

2005-12-11, 10:36	#1
Yamato Sep 2005 Berlin 2×3×11 Posts	Smooth Numbers Hello, Can someone give me a paper where the density of smooth numbers is precisely described (and proven). Especially the proofs of some theorems (e.g. Dickman or Canfield/Erdös/Pomerance) are important.

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2005-12-11, 11:09	#2
akruppa "Nancy" Aug 2002 Alexandria 9A3₁₆ Posts	Pretty much the standard paper on Dickman's function is Knuth and Trapp-Pardo, Analysis of a simple factorization algorithm, Theoretical Computer Science 3, 1976. If you use Citeseer on this paper you can find a host of newer publications on the subject. Alex