mersenneforum.org Asymptotic properties of Aliquot sequences
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 2011-03-28, 21:35 #1 Lothar   32·1,019 Posts 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
2011-03-29, 09:23   #2
schickel

"Frank <^>"
Dec 2004
CDP Janesville

2·1,061 Posts

Quote:
 Originally Posted by Lothar 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.

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