We consider the asymptotics of the correlation functions of the characteristic polynomials of the hermitian Wigner matrices $H_n=n^{ -1/2}W_n$. We show that for the correlation function of any even order the asymptotic coincides with this for the GUE up to a factor, depending only on the forth moment of the common probability law $Q$ of entries $\Im W_{ jk}$, $\Re W_{ jk}$, i.e. that the higher moments of $Q$ do not contribute to the above limit.
Categories: math-ph math.MP