Equidistribution of high-rank polynomials with variables restricted to subsets of ${\mathbb{F}}_p$

W. T. Gowers, Thomas Karam

Let $p$ be a prime and let $S$ be a non-empty subset of ${\mathbb{F}}_p$. Generalizing a result of Green and Tao on the equidistribution of high-rank polynomials over finite fields,…