On the value set of small families of polynomials over a finite field, II
Guillermo Matera, Mariana Pérez, Melina Privitelli · Acta Arithmetica · 2014
We obtain an estimate on the average cardinality $\mathcal{V}(d,s,\boldsymbol{a})$ of the value set of any family of monic polynomials in $\mathbb F_q[T]$ of degree $d$ for which $s$ consecutive coefficients $\boldsymbol{a} = (a_{d-1},\dots, a_{d-s})$ ar