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most citedThe mean-square of Dirichlet L-functions

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math-ph2005

Howe pairs, supersymmetry, and ratios of random characteristic polynomials for the unitary groups U(N)

J. B. Conrey, D. W. Farmer, M. R. Zirnbauer

For the classical compact Lie groups K = U(N) the autocorrelation functions of ratios of random characteristic polynomials are studied. Basic to our treatment is a property shared…