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<p>A classical theorem of Weyl states that any polynomial with an irrational coefficient other than the constant term is uniformly distributed mod 1. We prove a new function field analogue of this statement, confirming a conjecture of Lê, Liu, and Wooley.</p>

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A Weyl equidistribution theorem over function fields

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年1月28日

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  • Ethan Ackelsberg

摘要

A classical theorem of Weyl states that any polynomial with an irrational coefficient other than the constant term is uniformly distributed mod 1. We prove a new function field analogue of this statement, confirming a conjecture of Lê, Liu, and Wooley.