On the Bound of Inverse Images of a Polynomial Map

Ilya Vyugin

Let $f_1(x),\dots ,f_n(x)$ be some polynomials. The upper bound on the number of $x\in {\mathbb{F}}_p$ such that $f_1(x),\dots ,f_n(x)$ are roots of unit of order $t$ is obtained. This…