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The lattice discrepancy of certain three-dimensional bodies
Preprint
30 March 2010
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Abstract
Based on a fairly precise approximation to the lattice discrepancy of a Lame disc, an asymptotic formula is established for the number of lattice points in a related three-dimensional body, linearly dilated by a large real parameter x. Particular care is taken of the boundary points of Gaussian curvature zero.
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Most cited references9
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Jeffrey Vaaler (1985)
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Mean square discrepancy bounds for the number of lattice points in large convex bodies
Alexander Iosevich, Andreas Seeger, Eric Sawyer (2002)
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Lattice points in rational ellipsoids
F. Chamizo, E Cristóbal, A. Ubis (2009)