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
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.
Metadata
| Item Type: | Article | 
|---|---|
| Authors/Creators: | 
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| Dates: | 
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| Institution: | The University of York | 
| Academic Units: | The University of York > Faculty of Sciences (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 | 
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:6428 | 
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