On the distribution of lattice points in thin annuli

Details On the distribution of lattice points in thin annuli On the distribution of lattice points in thin annuli

2003-04-09

arxiv.org/abs/math/0304129v3

Mathematics

Probability

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Scientific paper

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 inner radius.

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