Sato-Tate Distributions on Abelian Surfaces
Number Theory
2019-07-05 v2
Abstract
We prove a few new cases of the Sato-Tate conjecture for abelian surfaces, using a new automorphy theorem of Allen et al. Then in the unproven cases, we use partial results to describe nontrivial asymptotics on the trace of Frobenius, and prove their optimality given current knowledge.
Cite
@article{arxiv.1808.00243,
title = {Sato-Tate Distributions on Abelian Surfaces},
author = {Noah Taylor},
journal= {arXiv preprint arXiv:1808.00243},
year = {2019}
}