Talk:Mertens conjecture
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Who did the search for counterexamples up to 10^14 and is the result published somewhere? (Akruppa)
There is an interesting discussion of the Mertens conjecture in Talk:Möbius_function. Perhaps some of that material could be moved here.
Cleanup:
Dates for S. are inconsistent. Also RH has not been proven false. This page is inaccurate.
- the article does not claim that RH has been proven false. Read more carefully.
- what exactly, precisely is inconsistent with S. dates ?
--FvdP 17:51, 14 Jan 2005 (UTC)
Contents |
[edit] Tag for context
I have tagged the article to be cleanup for context. Right now, it is very hard for readers without high level of math background to get a sense of what this is about. Perhaps give a 1 paragraph summary for the layman as introduction in the beginning of the article??
[edit] Is the first Sigma missing the upper bound of summation?
It just appears as though there is nothing there. Is this a mistake, or is there something that I'm not understanding about its context in the article? --Ķĩřβȳ♥ŤįɱéØ 07:46, 14 August 2006 (UTC)
[edit] No more a conjecture
A conjecture is an open question. And this one is closed. Not a conjecture. High time to create a new category. 83.199.53.61 22:30, 1 November 2006 (UTC)
[edit] Bounds on counter examples
There seems to be disagreement about the upper bound 3.21*10^64 [1] or exp(3.21*10^64) [2]. Does somebody have access to a peer reviewed paper? (Not just claims about what such a paper says) Where is the lower bound 10^14, and upper bound 1.59*10^40 or exp(1.59×10^40) from? PrimeHunter 23:49, 31 January 2007 (UTC)
- MathWorld is wrong. Read "Further systematic computations on the summatory function of the Möbius function" by Kotnik and van de Lune. They refer to Pintz for the exp(3.21*10^64) bound. 10^40 was to good to be true :-) // Wellparp 08:13, 1 February 2007 (UTC)
- See also this talk by te Riele [www.math.tu-berlin.de/~kant/ants/Proceedings/te_riele/te_riele_talk.pdf] // Wellparp 08:17, 1 February 2007 (UTC)
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- Thanks for the link which confirms the 3 bounds the article mentions. I have added the link in the references. PrimeHunter 13:44, 1 February 2007 (UTC)
