The distribution of lattice points in elliptic annuli

  • Igor Wigman
  • Published 2006

Abstract

Let N(t, ρ) be the number of lattice points in a thin elliptical annuli. We assume the aspect ratio β of the ellipse is transcendental and Diophantine in a strong sense (this holds for almost all aspect ratios). The variance of N(t, ρ) is t(8πβ · ρ). We show that if ρ shrinks slowly to zero then the distribution of the normalized counting function N(t, ρ)−A… (More)

Topics

Cite this paper

@inproceedings{Wigman2006TheDO, title={The distribution of lattice points in elliptic annuli}, author={Igor Wigman}, year={2006} }