mersenneforum.org  

Go Back   mersenneforum.org > New To GIMPS? Start Here! > Homework Help

Reply
 
Thread Tools
Old 2011-03-28, 21:35   #1
Lothar
 

627510 Posts
Question Asymptotic properties of Aliquot sequences

I'm writing my bachelor thesis on Aliquot sequences and have to use some theorems' proofs and explain them in details. I need Lenstra proof from P. Erdös paper here: http://www.ams.org/journals/mcom/197...-0404115-8.pdf but I got totally stuck in the proof. First of all, I need to construct some sequence according the formula on the first page, but in some reason I got a very strange result. And I couldn't figure out the place "now for 1=< i =< l-1 we have ...". I really can't get where from and how we get (l-1) and why still pi^ti ||m. May be someone has read the paper and could give me some idea.

Thanks in advance, Lothar
  Reply With Quote
Old 2011-03-29, 09:23   #2
schickel
 
schickel's Avatar
 
"Frank <^>"
Dec 2004
CDP Janesville

1000010010102 Posts
Default

Quote:
Originally Posted by Lothar View Post
I'm writing my bachelor thesis on Aliquot sequences and have to use some theorems' proofs and explain them in details. I need Lenstra proof from P. Erdös paper here: http://www.ams.org/journals/mcom/197...-0404115-8.pdf but I got totally stuck in the proof. First of all, I need to construct some sequence according the formula on the first page, but in some reason I got a very strange result. And I couldn't figure out the place "now for 1=< i =< l-1 we have ...". I really can't get where from and how we get (l-1) and why still pi^ti ||m. May be someone has read the paper and could give me some idea.

Thanks in advance, Lothar
Your article link is broken. It should be: On Asymptotic Properties of Aliquot Sequences.
schickel is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Broken aliquot sequences fivemack FactorDB 45 2020-05-16 15:22
Broken aliquot sequences schickel FactorDB 18 2013-06-12 16:09
A new theorem about aliquot sequences garambois Aliquot Sequences 34 2012-06-10 21:53
poaching aliquot sequences... Andi47 FactorDB 21 2011-12-29 21:11
New article on aliquot sequences schickel mersennewiki 0 2008-12-30 07:07

All times are UTC. The time now is 05:23.

Tue Jan 26 05:23:29 UTC 2021 up 54 days, 1:34, 0 users, load averages: 1.77, 2.50, 2.48

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2021, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.