3 citations · 3 across the 2 of their papers we have counts for
2 papers
math.PR2003★ 3 cited
On the distribution of lattice points in thin annuli
C. P. Hughes, Z. Rudnick
We show that the number of lattice points lying in a thin annulus has a Gaussian value distribution if the width of the annulus tends to zero sufficiently slowly as we increase the…
math.NT2002
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…