Effektive Abschätzungen für den Gitterrest gewisser ebener und dreidimensionaler Bereiche

• Autores: Ekkehard Krätzel, Werner Georg Noeak
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 146, Nº 1, 2005, págs. 21-35
• Idioma: alemán
• DOI: 10.1007/s00605-004-0291-y
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• Resumen

  • 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 R3, 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.