Title: Quelques Résultats d'Indépendance Algébrique

We describe a theorem of Yu. Nesterenko [Nes1] on algebraic independence of values of Eisenstein series, together with some corollaries. The most impressive of these is the algebraic independence of $\pi$, $e^\pi$ and $\Gamma (1/4)$. Finally we give some indications on new methods of proving algebraic independence.

1991 Mathematics Subject Classification: 11J85, 11J89, 11J91, 11F11

Keywords and Phrases: Algebraic Independence, Modular Functions

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