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arXiv · 1003.5764

The lattice discrepancy of certain three-dimensional bodies

E. Krätzel·W. G. Nowak
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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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E. Krätzel, W. G. Nowak. 2010-03-30. The lattice discrepancy of certain three-dimensional bodies. https://arxiv.org/abs/1003.5764

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