paper

Effective forms of the Sato--Tate conjecture

arXiv:2002.10450 · doi:10.1007/s40687-020-00234-3

Abstract

We prove effective forms of the Sato-Tate conjecture for holomorphic cuspidal newforms which improve on the author's previous work (solo and joint with Lemke Oliver). We also prove an effective form of the joint Sato-Tate distribution for two twist-inequivalent newforms. Our results are unconditional because of recent work of Newton and Thorne.

19 pages. The condition that the level be squarefree is removed

Effective forms of the Sato--Tate conjecture · wovepaper