2 problems

Sturmfels–Zworski conjecture. For generic reciprocal polynomials $P$ of even degree $d$, the first $d/2+1$ cyclic resultants determine $P$; for generic non-reciprocal polynomials,…

Sturmfels–Zworski conjecture. A generic monic polynomial $f(x)\in\mathbb C[x]$ of degree $d$ is determined by its first $d+1$ cyclic resultants. Moreover, if $f$ is non-monic recip…