1 problem

Fix $k\geq 1$ and $c\in(0,\infty)$. Let $\alpha_1,\ldots,\alpha_k$ be real numbers and let $F(z_1,\ldots,z_k)$ satisfy $\alpha_k=0$, $\alpha_j>\alpha_{j+1}+c$ for $1\leq j\leq k-1$…