The Sato-Tate conjecture for modular forms of weight 3

Mathematics – Number Theory

Scientific paper

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Essentially final version, appeared in Documenta Mathematica 14 (2009). This version does not incorporate any minor changes (e

Scientific paper

We prove a natural analogue of the Sato-Tate conjecture for modular forms of
weight 2 or 3 whose associated automorphic representations are a twist of the
Steinberg representation at some finite place.

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