20091224, 20:59  #1 
Dec 2008
7^{2}·17 Posts 
Distribution of Smooth Numbers
Is anyone aware of either Hildebrand's or Tenenbaum's work on the distribution of smooth numbers?
I have heard of their precise approximations for this distribution and thus was wondering if they were either in the form of papers and/or books? If the former, then please let me know of the title of the paper(s) (and if possible you can send me the electronic version of the paper(s) via email), and if the latter then please inform me of the title(s). 
20091225, 03:18  #2 
Dec 2008
7^{2}×17 Posts 
To be more precise, what is the best lowerbound on ?
Anyone? It's awfully quite on this thread 
20091225, 03:24  #3 
Undefined
"The unspeakable one"
Jun 2006
My evil lair
41×149 Posts 

20091225, 03:25  #4 
Dec 2008
7^{2}×17 Posts 

20091225, 03:32  #5 
Undefined
"The unspeakable one"
Jun 2006
My evil lair
41·149 Posts 

20091225, 03:33  #6 
Dec 2008
7^{2}·17 Posts 
Not at all a trick question. Hopefully others will be able to contribute. If I find the answer myself, I shall post here.

20091225, 05:32  #7 
Oct 2007
1101010_{2} Posts 
Not being an expert on the topic, this looks like a good place to start (if not just to harvest references):
"Smooth numbers: computational number theory and beyond" http://www.math.leidenuniv.nl/~psh/ANTproc/09andrew.pdf Last fiddled with by Robert Holmes on 20091225 at 05:37 
20091225, 08:50  #8  
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
7^{3}·31 Posts 
Quote:
I thought it was rather quiet, both on the forum and on the roads. No rushhour traffic, even though most of the snow has now cleared from around here. Very strange. Paul Last fiddled with by xilman on 20091225 at 08:50 Reason: Fix tyop 

20091225, 09:26  #9 
Undefined
"The unspeakable one"
Jun 2006
My evil lair
17DD_{16} Posts 

20091225, 11:24  #10 
"Lucan"
Dec 2006
England
2×3×13×83 Posts 
Last fiddled with by davieddy on 20091225 at 11:28 Reason: Found an infinitely better version:) 
20091225, 13:28  #11 
"Lucan"
Dec 2006
England
194A_{16} Posts 

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Not smooth enough numbers  Sam Kennedy  Factoring  5  20121110 07:54 
Special Smooth numbers  Citrix  Other Mathematical Topics  46  20120306 14:55 
Smooth and rough numbers  CRGreathouse  Math  3  20090525 05:26 
Finding smooth numbers  Citrix  Math  9  20051231 11:07 
Smooth Numbers  Yamato  Math  1  20051211 11:09 