Effective forms of the Sato--Tate conjecture
Number Theory
2021-03-11 v5
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.
Keywords
Cite
@article{arxiv.2002.10450,
title = {Effective forms of the Sato--Tate conjecture},
author = {Jesse Thorner},
journal= {arXiv preprint arXiv:2002.10450},
year = {2021}
}
Comments
19 pages. The condition that the level be squarefree is removed