The Sato-Tate conjecture for modular forms of weight 3

Abstract

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.

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