Effektive Abschaetzungen fuer den Gitterrest gewisser ebener und dreidimensionaler Bereiche

Details Effektive Abschaetzungen fuer den Gitterrest gewisser ebener und dreidimensionaler Bereiche Effektive Abschaetzungen fuer den Gitterrest gewisser ebener und dreidimensionaler Bereiche

2004-05-12

arxiv.org/abs/math/0405215v1

Monatsh. Math. 146 (2005), 21-35

Mathematics

Number Theory

Scientific paper

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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