Answer by Gjergji Zaimi for Is there an explicit example of a complex number...
Such a number is constructed in this article of M.Yoshinaga where it is proved that periods can be effectively approximated by elementary rational Cauchy sequences.
View ArticleAnswer by Tom Leinster for Is there an explicit example of a complex number...
I haven't heard the latest about periods, but I want to point out a potential fallacy here. It's said very often that the easy proof of the existence of transcendental numbers (on cardinality grounds)...
View ArticleAnswer by José Figueroa-O'Farrill for Is there an explicit example of a...
I recently attended (and blogged about) a colloquium on precisely this topic in which your 'rumour' was mentioned. Apparently it has been conjectured that neither $e$ nor the Euler constant $\gamma$...
View ArticleIs there an explicit example of a complex number which is not a period?
Kontsevich and Zagier proposed a definition of a period (see for example http://en.wikipedia.org/wiki/Ring_of_periods ). The set of periods is countable, so not all of $\mathbb{C}$. I heard a rumour...
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