14 citations · 18 across the 4 of their papers we have counts for
4 papers
Asymptotics of Characteristic Polynomials of Wigner Matrices at the Edge of the Spectrum
Holger Kösters
We investigate the asymptotic behaviour of the second-order correlation function of the characteristic polynomial of a Hermitian Wigner matrix at the edge of the spectrum. We show…
On the Second-Order Correlation Function of the Characteristic Polynomial of a Real Symmetric Wigner Matrix
H. Kösters
We consider the asymptotic behaviour of the second-order correlation function of the characteristic polynomial of a real symmetric random matrix. Our main result is that the existi…
On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix
F. Götze, H. Kösters
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…
The Riemann Zeta-Function and the Sine Kernel
H. Kösters
We point out an interesting occurrence of the sine kernel in connection with the shifted moments of the Riemann zeta function along the critical line. We discuss rigorous results i…