Counting integers representable as images of polynomials modulo $n$

Fabián Arias, Jerson Borja, Luis Rubio

Given a polynomial $f(x_1,x_2,\dots ,x_t)$ in $t$ variables with integer coefficients and a positive integer $n$, let $\alpha (n)$ be the number of integers $0\le a<n$ such that the po…