Modularity in weight (1,1,...,1)

Mathematics – Number Theory

Scientific paper

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25 pages

Scientific paper

We prove an analogue of the main result of Buzzard and Taylor (Annals of
Mathematics 149 (1999), 905-919) for totally real fields in which p is
unramified. This can be used to prove certain cases of the strong Artin
conjecture over totally real fields.

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