26 citations · 60 across the 4 of their papers we have counts for
4 papers
On the moments of the moments of the characteristic polynomials of random unitary matrices
E. C. Bailey, J. P. Keating
Denoting by the characteristic polynomial on the unit circle in the complex plane of an random unitary matrix , we calculate the th mo…
Truncated Product Representations for -Functions in the Hyperelliptic Ensemble
J. C. Andrade, S. M. Gonek, J. P. Keating
We investigate the approximation of quadratic Dirichlet -functions over function fields by truncations of their Euler products. We first establish representations for such -f…
What is the probability that a random integral quadratic form in variables has an integral zero?
M. Bhargava, J. E. Cremona, T. A. Fisher +2
We show that the density of quadratic forms in variables over that are isotropic is a rational function of , where the rational function is independent of ,…
n-particle quantum statistics on graphs
Jonathan M. Harrison, Jonathan P. Keating, Jonathan M. Robbins +1
We develop a full characterization of abelian quantum statistics on graphs. We explain how the number of anyon phases is related to connectivity. For 2-connected graphs the indepen…