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Mesures d'indépendance linéaire de carrés de périodes et quasi-périodes de courbes elliptiques
Authors:Damien Vergnaud
Institution:École normale supérieure, CNRS, INRIA, 45 rue d'Ulm, 75230 Paris Cedex 05, France
Abstract:A linear independence measure over Q is obtained for values of some generalized hypergeometric functions at rational points and for the squares of real periods and quasi-periods of elliptic curves in Legendre form y2=x(x−1)(x−1/q) for almost every qZ.
Keywords:Linear independence measure  Elliptic curve  Period  Quasi-period  Generalized hypergeometric function
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