On the Second-Order Correlation Function of the Characteristic   Polynomial of a Hermitian Wigner Matrix
  We consider the asymptotics of the second-order correlation function of the characteristic polynomial of a random matrix. We show that the known result for a random matrix from the Gaussian Unitary Ensemble essentially continues to hold for a general Hermitian Wigner matrix. Our proofs rely on an explicit formula for the exponential generating function of the second-order correlation function of the characteristic polynomial. 
F. G\"otze, H. K\"osters