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On the distribution of lattice points in thin annuli

Hughes, C.P. and Rudnick, Z. (2004) On the distribution of lattice points in thin annuli. International Mathematics Research Notices, 13. pp. 637-658. ISSN 1687-0247

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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.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 29 May 2009 12:27
Last Modified: 29 May 2009 12:27
Published Version: http://dx.doi.org/10.1155/S1073792804131681
Status: Published
Publisher: Oxford University Press
Identification Number: 10.1155/S1073792804131681
URI: http://eprints.whiterose.ac.uk/id/eprint/6428

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