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Lothar 2011-03-28 21:35

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: [url]www.ams.org/journals/mcom/1976.../S0025-5718-1976-0404115-8.pdf[/url] 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

schickel 2011-03-29 09:23

[QUOTE=Lothar;256896]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: [url]www.ams.org/journals/mcom/1976.../S0025-5718-1976-0404115-8.pdf[/url] 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[/QUOTE]Your article link is broken. It should be: [URL="http://www.ams.org/journals/mcom/1976-30-135/S0025-5718-1976-0404115-8/S0025-5718-1976-0404115-8.pdf"]On Asymptotic Properties of Aliquot Sequences[/URL].


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