The greatest possible lower type of entire functions of order \(\rho \in (0; 1)\) with zeros of fixed \(\rho \)-densities (Q764031)

For \(\rho \in (0, 1)\) the authors obtain the supremum of lower \(\rho \)-types of entire functions whose sequence of roots has given lower and upper densities for the order \(\rho \). The main aim of this paper is to derive the best possible estimate of the lower type of entire functions of order \(\rho \in (0; 1)\) with zeros of fixed \(\rho \)-densities.