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math-ph2002★ 76 cited
Autocorrelation of Random Matrix Polynomials
J. B. Conrey, D. W. Farmer, J. P. Keating +2
We calculate the autocorrelation functions (or shifted moments) of the characteristic polynomials of matrices drawn uniformly with respect to Haar measure from the groups U(N), O(2…
math.NT2002★ 2 cited
Integral moments of L-functions
J. B. Conrey, D. W. Farmer, J. P. Keating +2
We give a new heuristic for all of the main terms in the integral moments of various families of primitive L-functions. The results agree with previous conjectures for the leading…