On the Minimal Distance of the Zeros of a Polynomial


Slaviša_B. Prešić


Let $$ p(x)= \sum_{\nu=0}^na_\nu x^\nu,\quad (a_\nu\in C,\enskip a_n\neq 0) $$ be a complex polynominal whose zeros $x_1,\dots,x_n$ are mutually distinct. In this paper we give a method of finding some positive lower bounds of $$ \min_{i\neq j}|x_i-x_j|. $$