APPENDIX: POTENTIAL MODULARITY OF ELLIPTIC CURVES OVER TOTALLY REAL FIELDS JEAN-PIERRE WINTENBERGER The following theorem is well known to experts. Theorem 0.1. Let E an elliptic curve over a totally real number field F - Modularity theorem - Document - PDFSEARCH.IO

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	APPENDIX: POTENTIAL MODULARITY OF ELLIPTIC CURVES OVER TOTALLY REAL FIELDS JEAN-PIERRE WINTENBERGER The following theorem is well known to experts. Theorem 0.1. Let E an elliptic curve over a totally real number field F Add to Reading List Document Date: 2008-11-21 08:07:51 Open Document File Size: 99,49 KB Share Result on Facebook City Rapoport / Berlin / Strasbourg Cedex / Lille / / Company GF / GM / / Country France / / Currency pence / / / Organization Ecole Norm / / Person Fontaine / JEAN-PIERRE WINTENBERGER / Louis Pasteur / Tq / / Position l∈PM / Prime Minister / set PM / conductor / / Product Canon GL2 Camcorder / / PublishedMedium Inventiones Mathematicae / / URL http / SocialTag Galois theory Field theory Group theory Analytic number theory Galois module Algebraic number field Elliptic curve Cyclotomic character Splitting of prime ideals in Galois extensions Abstract algebra

APPENDIX: POTENTIAL MODULARITY OF ELLIPTIC CURVES OVER TOTALLY REAL FIELDS JEAN-PIERRE WINTENBERGER The following theorem is well known to experts. Theorem 0.1. Let E an elliptic curve over a totally real number field F Add to Reading List