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DISTRIBUTION OF INTEGER LATTICE POINTS IN A BALL CENTRED AT A DIOPHANTINE POINT
Author(s) -
Kang Hyunsuk,
Sobolev Alexander V.
Publication year - 2010
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579309000527
Subject(s) - diophantine equation , mathematics , ball (mathematics) , integer lattice , lattice (music) , diophantine approximation , combinatorics , mathematical analysis , half integer , condensed matter physics , physics , acoustics
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.