ABSTRACT
The asymptotic estimates of the expected number of real zeros of the polynomial i.e. where gj(j=1,2,…..n) is a sequence of independent normally distributed random variables is such a number. The expected number of zeros of the above polynomial with coefficients gj(w), j=1,2,…..n in be a sequence of independent random variables defined on probability space , each normally distributed with mean zero and variance one, then for all sufficiently large n the variance of the number of real zeros of T(θ) is equal to
