THE SATO-TATE CONJECTURE FOR HILBERT MODULAR FORMS

摘要

In this paper we prove the Sato-Tate conjecture for Hilbert modular forms. More precisely, we prove the natural generalisation of the Sato-Tate conjecture for regular algebraic cuspidal automorphic representations of GL_2(A_F), F a totally real field, which are not of CM type.