Sato-Tate Distributions on Abelian Surfaces

@article{Taylor2018SatoTateDO,
  title={Sato-Tate Distributions on Abelian Surfaces},
  author={N. Taylor},
  journal={arXiv: Number Theory},
  year={2018}
}
  • N. Taylor
  • Published 2018
  • Mathematics
  • arXiv: Number Theory
  • 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. 
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