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An effective Deligne's equidistribution theorem

Number Theory 2024-06-28 v2

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.

Keywords

Cite

@article{arxiv.2406.09633,
  title  = {An effective Deligne's equidistribution theorem},
  author = {Lei Fu and Yuk-Kam Lau and Ping Xi},
  journal= {arXiv preprint arXiv:2406.09633},
  year   = {2024}
}

Comments

Improve the estimates in the previous version

R2 v1 2026-06-28T17:05:23.773Z