Effektive Abschaetzungen fuer den Gitterrest gewisser ebener und dreidimensionaler Bereiche

E. Kraetzel; W. G. Nowak

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Effektive Abschaetzungen fuer den Gitterrest gewisser ebener und dreidimensionaler Bereiche

E. Kraetzel·W. G. Nowak

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Abstract

Effective estimates for the lattice point discrepancy of certain planar and three-dimensional domains. This paper provides estimates, with explicit constants, for the lattice point discrepancy of o-symmetric ellipse discs and ellipsoids in three-dimensional Euclidean space, as well as of three-dimensional convex bodies which are invariant under rotations around one coordinate axis and have a smooth boundary of finite nonzero Gaussian curvature throughout.

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E. Kraetzel, W. G. Nowak. 2004-05-12. Effektive Abschaetzungen fuer den Gitterrest gewisser ebener und dreidimensionaler Bereiche. https://arxiv.org/abs/math/0405215

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