Witt Vectors and a Question of Rudnick and Waxman

Abstract

This is Part III of the paper “Witt vectors and a question of Keating and Rudnick” [Ka-WVQKR]. We prove equidistribution results for the L-functions attached to “super-even” characters of the group of truncated “big” Witt vectors, and for the L-functions attached to the twists of these characters by the quadratic character.