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.

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

formulation date | 1955 (70 years ago) formulators | Yutaka Taniyama | Goro Shimura status | proved proof date | 2001 (46 years later) (24 years ago) provers | Christophe Breuil | Brian Conrad | Fred Diamond | Richard Taylor additional people involved | André Weil

proved conjectures | solved mathematics problems | mathematics theorems