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Lattice points inside random ellipsoids

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Publication:1885561
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DOI10.1307/mmj/1080837731zbMath1056.11052OpenAlexW1966456349MaRDI QIDQ1885561

Alexander Iosevich, D. Weidinger, Steven Hofmann

Publication date: 11 November 2004

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1080837731

zbMATH Keywords

lattice pointslattice restmean value estimaterandom ellipsoids


Mathematics Subject Classification ID

Lattice points in specified regions (11P21)


Related Items

On the mean square of the remainder for the Euclidean lattice point counting problem, Bounds for spectral projectors on generic tori, Lattice points in a circle for generic unimodular shears



Cites Work

  • The remainder in Weyl's law for random two-dimensional flat tori
  • Convex hypersurfaces and Fourier transforms
  • Fourier transforms related to convex sets
  • Mean square discrepancy bounds for the number of lattice points in large convex bodies
  • On the average order of the lattice rest of a convex body
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