A Weyl equidistribution theorem over function fields

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 Lê, Liu, and Wooley.

arXiv comment8 pages, to appear in Archiv der Mathematik. The statements of Theorems 2.1 and 3.2 have been corrected from the previous version, as explained in Remark 2.2