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    Shimura-Taniyama-Weil Conjecture

    Statement

    The Taniyama-Shimura conjecture, now proved, posited that there exists a modular form of weight two and level N which is an eigenform under the Hecke operators and has a Fourier series sum_(n=1)^∞a_nq^n.

    Alternate names

    modularity theorem | Shimura-Taniyama conjecture | Shimura-Taniyama-Weil conjecture

    History

    formulation date | 1955 (69 years ago) formulators | Yutaka Taniyama | Goro Shimura status | proved proof date | 2001 (46 years later) (23 years ago) provers | Christophe Breuil | Brian Conrad | Fred Diamond | Richard Taylor additional people involved | André Weil

    Classes

    proved conjectures | solved mathematics problems | mathematics theorems

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