### On the number of lattice points in a thin annulus

Hughes, C *(AIM)*

Monday 28 June 2004, 16:00-16:40

Seminar Room 1, Newton Institute

#### 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