The Sato-Tate conjecture for modular forms of weight 3

2009/06/02 by Gee, Toby
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0906.0614

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.

Related

• The Sato-Tate conjecture for Hilbert modular forms
• The Ramanujan and Sato-Tate Conjectures for Bianchi modular forms
• Modularity Lifting Theorems beyond the Taylor-Wiles Method. II
• Saito-Kurokawa lifts and applications to the Bloch-Kato conjecture
• Kato explicit reciprocity law for Siegel modular forms of weight (3, 3)