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Preprint . 2003
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Article . 2004
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https://dx.doi.org/10.48550/ar...
Article . 2003
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On the distribution of lattice points in thin annuli

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2003Embargo end date: 01 Jan 2003Publisher:arXiv
Authors: Hughes, C. P.; Rudnick, Z.;

doi: 10.48550/arxiv.math/0304129

arXiv: math/0304129

On the distribution of lattice points in thin annuli

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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Keywords

Mathematics - Number Theory, limit distributions, Probability (math.PR), FOS: Physical sciences, Mathematical Physics (math-ph), Harmonic analysis and almost periodicity in probabilistic number theory, number of lattice points, Gaussian value distribution, Lattice points in specified regions, FOS: Mathematics, Probability distributions: general theory, Number Theory (math.NT), Mathematics - Probability, Mathematical Physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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