On the Correlation Function of the Characteristic Polynomials of the Hermitian Wigner Ensemble.

We consider the asymptotic of the correlation functions of the characteristic polynomials of the hermitian Wigner matrices H = n W. We show that for the correlation function of any even order the asymptotic coincides with this for the Gaussian Unitary Ensemble up to a factor, depending only on the fourth moment of the common probability law of entries $${\mathfrak{J} W_{jk}, \mathfrak{R} W_{jk}}$$ , i.e. that the higher moments do not contribute to the above limit. [ABSTRACT FROM AUTHOR]