108 citations · 814 across the 70 of their papers we have counts for
4 papers · 1 filter
Random matrix theory, the exceptional Lie groups, and L-functions
J. P. Keating, N. Linden, Z. Rudnick
There has recently been interest in relating properties of matrices drawn at random from the classical compact groups to statistical characteristics of number-theoretical L-functio…
Linear statistics of low-lying zeros of L--functions
C. P. Hughes, Z. Rudnick
We consider linear statistics of the scaled zeros of Dirichlet --functions, and show that the first few moments converge to the Gaussian moments. The number of Gaussian moments…
Mock-Gaussian Behaviour for Linear Statistics of Classical Compact Groups
C. P. Hughes, Z. Rudnick
We consider the scaling limit of linear statistics for eigenphases of a matrix taken from one of the classical compact groups. We compute their moments and find that the first few…
Torsion points on curves and common divisors of a^k-1 and b^k-1
Nir Ailon, Zeev Rudnick
We study the behavior of the greatest common divisor of a^k-1 and b^k-1, where a,b are fixed integers or polynomials, and k varies. In the integer case, we conjecture that when a a…