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Effective forms of the Sato–Tate conjecture
Research in the Mathematical Sciences ( IF 1.2 ) Pub Date : 2021-01-05 , DOI: 10.1007/s40687-020-00234-3
Jesse Thorner

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.



中文翻译:

佐藤-泰特猜想的有效形式

我们证明了针对全同性尖状新形式的Sato-Tate猜想的有效形式,这些形式在作者先前的工作(独奏和与Lemke Oliver联合)的基础上有所改进。我们还证明了Sato-Tate联合分布的一种有效形式,适用于两种扭曲不相等的新形式。由于牛顿和索恩的最新工作,我们的结果是无条件的。

更新日期:2021-01-05
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