Open AccessTHE DISTRIBUTION OF LATTICE POINTS IN ELLIPTIC ANNULI
Author(s) -
Igor Wigman
Publication year - 2005
Publication title -
the quarterly journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.922
H-Index - 35
eISSN - 1464-3847
pISSN - 0033-5606
DOI - 10.1093/qmath/hai017
Subject(s) - tel aviv , distribution (mathematics) , mathematics , history , library science , computer science , mathematical analysis
We study the distribution of the number of lattice points lying in thin elliptical annuli. It has been conjectured by Bleher and Lebowitz that if the width of the annuli tends to zero and their area tends to infinity, then the distribution of this number, normalized to have zero mean and unit variance, is Gaussian. This has been proved by Hughes and Rudnick for circular annuli whose width shrinks ...
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