Mesures d'indépendance linéaire de carrés de périodes et quasi-périodes de courbes elliptiques |
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Authors: | Damien Vergnaud |
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Institution: | École normale supérieure, CNRS, INRIA, 45 rue d'Ulm, 75230 Paris Cedex 05, France |
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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 q∈Z. |
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Keywords: | Linear independence measure Elliptic curve Period Quasi-period Generalized hypergeometric function |
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