Sato-Tate distributions on Abelian surfaces
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- by Noah Taylor PDF
- Trans. Amer. Math. Soc. 373 (2020), 3541-3559 Request permission
Abstract:
We prove a few new cases of the Sato-Tate conjecture, 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.References
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Additional Information
- Noah Taylor
- Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois 60637
- Email: noaht@uchicago.edu
- Received by editor(s): February 17, 2019
- Received by editor(s) in revised form: July 2, 2019, and September 4, 2019
- Published electronically: February 20, 2020
- Additional Notes: The author was supported in part by NSF Grant DMS-$1701703$.
- © Copyright 2020 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 373 (2020), 3541-3559
- MSC (2010): Primary 11F41, 11M45
- DOI: https://doi.org/10.1090/tran/8025
- MathSciNet review: 4082247