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On the lower bound of the number of real roots of a random algebraic equation with infinite variance. II

On the lower bound of the number of real roots of a random algebraic equation with infinite variance. II

Let ${N_n}$ be the number of real roots of a random algebraic equation $\sum \nolimits _{v = 0}^n {{\xi _v}{x^v} = 0}$ where the ${\xi _v}$’s are independent random variables with a common characteristic function \[ \exp ( - C|t{|^\alpha }),\quad \alpha > 1,\] and