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

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

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: [email protected])
Alexander V. Sobolev
Affiliation:
Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, U.K. (email: [email protected])
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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
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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