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arxiv: math/0304129 · v3 · submitted 2003-04-09 · 🧮 math.PR · math-ph· math.MP· math.NT

On the distribution of lattice points in thin annuli

classification 🧮 math.PR math-phmath.MPmath.NT
keywords annulusdistributionlatticepointsthinannuligaussianincrease
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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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