The lattice discrepancy of certain three-dimensional bodies
Number Theory
2010-03-31 v1
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.
Keywords
Cite
@article{arxiv.1003.5764,
title = {The lattice discrepancy of certain three-dimensional bodies},
author = {E. Krätzel and W. G. Nowak},
journal= {arXiv preprint arXiv:1003.5764},
year = {2010}
}