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We investigate the asymptotic behaviour of the second-order corre- lation function of the characteristic polynomial of a Hermitian Wigner matrix at the edge of the spectrum. We show that the suitably rescaled second-order corre- lation function is asymptotically given by the Airy kernel, thereby generalizing the well-known result for the Gaussian Unitary Ensemble (GUE). Moreover, we obtain similar results for real-symmetric Wigner matrices.

Asymptotics of characteristic polynomials of Wigner matrices at the edge of the spectrum