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Volume, surface area and the number of integer points covered by a convex set

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Publication:2555099
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DOI10.1007/BF01304930zbMath0245.10020MaRDI QIDQ2555099

No author found.

Publication date: 1972

Published in: Archiv der Mathematik (Search for Journal in Brave)



Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Lattices and convex bodies (number-theoretic aspects) (11H06) Convex sets in (3) dimensions (including convex surfaces) (52A15)


Related Items (5)

An upper estimate for the lattice point enumerator ⋮ The Mathematical Work of Wolfgang Schmidt ⋮ Diskrepanz und Distanz von Maßen bezüglich konvexer und Jordanscher Mengen. (Discrepancy and distance of measures with respect to convex and Jordan sets) ⋮ An inequality relating volume, area and number of lattice points of convex sets in \(n\)-dimensional Euclidean space ⋮ Stationary partitioning of convex bodies



Cites Work

  • Ein Satz über konvexe Mengen und Gitterpunkte
  • Volumen und Oberfläche eines Eikörpers, der keine Gitterpunkte überdeckt
  • Ein Satz über konvexe Körper und Gitterpunkte
  • Area-Perimeter Relations for Two-Dimensional Lattices
  • Unnamed Item


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