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On the Lower Bound of the Number of Real Roots of a Random Algebraic Equation with Infinite Variance
Let Nn be the number of real roots of a random algebraic equation £J ("x' =0, where the coefficients f"'s are independent random variables with common characteristic function exp (-C | / ¡ "), C being a positive constant and a ^ 1.It is proved that Nn ^ (P log …