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hatnote for Serre's modularity conjecture |
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==Generalizations==
The modularity theorem is a special case of more general conjectures due to [[Robert Langlands]]. The [[Langlands program]] seeks to attach an [[automorphic form]] or [[automorphic representation]] (a suitable generalization of a modular form) to more general objects of arithmetic algebraic geometry, such as to every elliptic curve over a [[number field]]. Most cases of these extended conjectures have not yet been proved.
Freitas, Le Hung, ==Example==
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