76 citations · 81 across the 3 of their papers we have counts for
3 papers
math.NT2006★ 1 cited
On the mean values of L-functions in orthogonal and symplectic families
H. M. Bui, J. P. Keating
Hybrid Euler-Hadamard products have previously been studied for the Riemann zeta function on its critical line and for Dirichlet L-functions in the context of the calculation of mo…
math.NT2004★ 4 cited
Random Matrix Theory and the Fourier Coefficients of Half-Integral Weight Forms
J. Brian Conrey, Jon P. Keating, Michael O. Rubinstein +1
Conjectured links between the distribution of values taken by the characteristic polynomials of random orthogonal matrices and that for certain families of L-functions at the centr…
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…