Linear and quadratic uniformity of the Möbius function over ${\mathbb{F}}_q[t]$

Pierre-Yves Bienvenu, Thái Hoàng Lê

We examine correlations of the Möbius function over ${\mathbb{F}}_q[t]$ with linear or quadratic phases, that is, averages of the form \begin{equation} \label{eq:average} \frac{1}{q^…