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arxiv: 1003.5764 · v1 · submitted 2010-03-30 · 🧮 math.NT

The lattice discrepancy of certain three-dimensional bodies

classification 🧮 math.NT
keywords latticediscrepancypointsthree-dimensionalapproximationasymptoticbodiesbody
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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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