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arXiv · 2509.18789

A Weyl equidistribution theorem over function fields

Ethan Ackelsberg
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Abstract

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 L\^{e}, Liu, and Wooley.

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Ethan Ackelsberg. 2025-09-23. A Weyl equidistribution theorem over function fields. https://doi.org/10.1007/s00013-025-02215-w

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