Effective forms of the Sato--Tate conjecture

Published 24 Feb 2020 in math.NT | (2002.10450v5)

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.

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Jesse Thorner

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