Some results on algebraic independence

François Gramain · EMS Press eBooks · 1998

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 π, e π and Γ(1/4).Finally we give some indications on new methods of proving algebraic independence.

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