Journal of Applied Mathematics and Stochastic Analysis 
Volume 14 (2001), Issue 4, Pages 351-359
doi:10.1155/S1048953301000314

Strong result for real zeros of random algebraic polynomials

T. Uno

 Meijo University, Faculty of Urban Science, Gifu 509-0261, Japan
Received 1 February 2001; Revised 1 July 2001

Abstract

An estimate is given for the lower bound of real zeros of random algebraic polynomials whose coefficients are non-identically distributed dependent Gaussian random variables. Moreover, our estimated measure of the exceptional set, which is independent of the degree of the polynomials, tends to zero as the degree of the polynomial tends to infinity.