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On the number of lattice points in a thin annulus

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

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.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons