2 problems

Let $\mathcal{E}_d^{(s)}$ be the set of coefficient vectors of monic degree-$d$ real polynomials whose roots include exactly $s$ pairs of nonreal conjugates, and let … Here $d$ is…

For each $s\in\mathbb{N}$, let $v_{2s}^{(s)}$ denote the volume of the coefficient region of monic degree-$2s$ real contractive polynomials having exactly $s$ pairs of nonreal conj…