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arXiv:2406.09633 (math)
[Submitted on 13 Jun 2024 (v1) , last revised 27 Jun 2024 (this version, v2)]

Title: An effective Deligne's equidistribution theorem

Title: 有效的德尔涅等分布定理

Authors:Lei Fu, Yuk-Kam Lau, Ping Xi
Abstract: We prove an Erd\H{o}s--Tur\'an type inequality for compact Lie groups, from which we deduce an effective version of Deligne's equidistribution theorem.
Abstract: 我们证明了一个关于紧李群的Erdős--Turán型不等式,由此推导出Deligne等分布定理的有效版本。
Comments: Improve the estimates in the previous version
Subjects: Number Theory (math.NT)
MSC classes: 11K38, 22E46, 14F20
Cite as: arXiv:2406.09633 [math.NT]
  (or arXiv:2406.09633v2 [math.NT] for this version)
  https://doi.org/10.48550/arXiv.2406.09633
arXiv-issued DOI via DataCite

Submission history

From: Lei Fu [view email]
[v1] Thu, 13 Jun 2024 23:48:15 UTC (15 KB)
[v2] Thu, 27 Jun 2024 02:02:35 UTC (17 KB)
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