# On the number of lattice points in a thin annulus

Presented by:
C Hughes [AIM]
Date:
Monday 28th June 2004 - 16:00 to 16:40
Venue:
INI Seminar Room 1
Abstract:

We count the number of integer lattice points in an annulus of inner-radius $t$ and outer-radius $t+\rho$. If $\rho \to 0$ sufficiently slowly then the distribution of this counting function as $t\to\infty$ weakly converges to the normal distribution.

Presentation Material: