Talk:Gelfond's constant

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Mathematics rating: Stub Class Mid Priority  Field: Analysis

Regarding the new section "Interesting facts", I think that the first sentence should refer to "Gelfond's constant", not Gelfond-Schneider. Also, it isn't clear see why this is interesting. Explaining the link to the j-function would make things clearer.  —Daphne A 12:29, 25 August 2006 (UTC)

[edit] Reference for \pi+e^\pi\,

I added MathWorld's reference for Nesterenko's proof, but can't check it at the moment. Could someone please verify? --Tardis 20:51, 2 April 2007 (UTC)

Isn't "The number e^\pi-\pi \approx 19.9991..., is almost an integer." and "Notice that e^\pi-20 = 3.140692633 \approx \pi itself." the same thing mathematically?

Yes, but it's coming at the same fact from two different perspectives. That makes the fact much easier to process for people unfamiliar with Gelfond's constant, and the principle applies for any mathematics-related articles in general. --54x 08:04, 4 October 2007 (UTC)

[edit] Numerical Value

The iteration was wrong. I corrected it with the help of Wolfram's website and a spreadsheet but I do not understand why it works. Anybody would like to give a motivation for this formula? And what will seed values other than 1/\sqrt{2} do? HannsEwald (talk) 11:11, 30 November 2007 (UTC)