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DISTRIBUTION OF INTEGER LATTICE POINTS IN A BALL CENTRED AT A DIOPHANTINE POINT

Part of: Harmonic analysis in several variables Additive number theory; partitions

Published online by Cambridge University Press:  10 December 2009

Hyunsuk Kang  and
Alexander V. Sobolev
Hyunsuk Kang
Affiliation:
Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, U.K. (email: kang.maths@gmail.com)
Alexander V. Sobolev
Affiliation:
Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, U.K. (email: avsobolev@math.ucl.ac.uk)
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Abstract

We study the variance of the fluctuations in the number of lattice points in a ball and in a thin spherical shell of large radius centred at a Diophantine point.

MSC classification

Secondary: 11P21: Lattice points in specified regions 42B05: Fourier series and coefficients

Information

Type
Research Article
Information
Mathematika , Volume 56 , Issue 1 , January 2010 , pp. 118 - 134
Copyright
Copyright © University College London 2010

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References

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