2 problems

Aouchiche–Hansen–Zheng conjecture. One has

Root-separation conjecture. For any $\alpha\the 2$, $g_0(n,\alpha)=0$ has exactly one real root for $x\the(3,+\infty)$. For any $\alpha>2$, $g_1(n,\alpha)=0$ has at most one real r…