On the distribution of lattice points in thin annuli

C. P. Hughes; Z. Rudnick

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On the distribution of lattice points in thin annuli

C. P. Hughes·Z. Rudnick

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Abstract

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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C. P. Hughes, Z. Rudnick. 2003-09-16. On the distribution of lattice points in thin annuli. https://arxiv.org/abs/math/0304129

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