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  • '''Pi''' is an [[irrational number]] (in fact, [[transcendental number]], as proved by Lindemann in 1882) denoted by the Greek letter <math>\pi</m ...ory]], particularly [[algebraic number theory]]. For example, many [[class number]] formulae involve pi.
    8 KB (1,424 words) - 15:49, 17 February 2025
  • ...s too well, or, more precisely, that <math>x</math> is not a [[Liouvillian number]], i.e., that for some power <math>M<+\infty</math>, the [[inequality]] <ma ...the main theorem in this article is fitted to the Beukers proof of the non-Liouvillian character of <math>\pi</math>, but the general spirit of all such theorems
    8 KB (1,431 words) - 12:48, 26 January 2008