Squarefree polynomials with prescribed coefficients

Amotz Oppenheim, Mark Shusterman

For nonempty subsets $S_0,\dots ,S_{n-1}$ of a (large enough) finite field $\mathbb{F}$ satisfying $$|S_1|,\dots ,|S_{n-1}|>2\mathrm{or}|S_1|,|S_{n-1}|>n-1,$$…