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Old 2021-12-14, 17:20   #23
ThomasK
 
Aug 2021

2·5 Posts
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As I just learned, mathematics professor Andreas Weingartner from Southern Utah University, Cedar City, Utah, USA has proven the following:


lim n-> infinite Wo(n) / (0.612415 .... * x / ln x) = 1


I don't know the proof yet, but on June 30th, 2021 the proof was confirmed on https://oeis.org/A047836.

This constant 0.612415 ... we call it the constant of the Nullwertzahlen.

Professor Andreas Weingartner has proven even more.


The following applies: Wo(n) = 0.612415... * n / ln n + O (n / (ln n )^2)

Many thanks to Professor Andreas Weingartner. This is a significant improvement on what we previously knew. So far, we have only conjectured what he has proven.

Last fiddled with by ThomasK on 2021-12-14 at 17:25
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