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.

8 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