On the lower bound of the number of real roots of a random algebraic equation with infinite variance. III
On the lower bound of the number of real roots of a random algebraic equation with infinite variance. III
Let ${N_n}$ be the number of real roots of a random algebraic equation $\Sigma _0^n{a_v}{\xi _v}{x^v} = 0$, where ${\xi _v}$âs are independent random variables with common characteristic function $\exp ( - C|t{|^\alpha }),C$ being a positive constant, $\alpha \geqq 1$ and ${a_0},{a_1}, \cdots ,{a_n}$ are nonzero real numbers. Let …