The lattice discrepancy of certain three-dimensional bodies

Details The lattice discrepancy of certain three-dimensional bodies The lattice discrepancy of certain three-dimensional bodies

2010-03-30

arxiv.org/abs/1003.5764v1

Mathematics

Number Theory

Scientific paper

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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