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arXiv · 2002.10450

Effective forms of the Sato--Tate conjecture

Jesse Thorner
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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. 2020-02-24. Effective forms of the Sato--Tate conjecture. https://doi.org/10.1007/s40687-020-00234-3

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