Conjecture on an n-independent convergence rate for Kalantari's bound
Let p(z)p(z)p(z) be a polynomial of degree nnn, let ρmin:=minρ:p(ρ)=0∣ρ∣\rho_{\min}:=\min_{\rho:p(\rho)=0}|\rho|ρmin:=minρ:p(ρ)=0∣ρ∣, and let LmL_mLm be the lower bound in the inequality Lm/ρmin≥1−ϵL_m/\rho_{\min}\geq 1-\epsilonLm/ρmin≥1−ϵ. n-ind…