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The amount of overlapping in partial coverings of space by equal spheres

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Publication:5334414
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DOI10.1112/S0025579300004393zbMath0127.27603OpenAlexW2103305947MaRDI QIDQ5334414

C. A. Rogers, L. Few, Paul Erdős

Publication date: 1964

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300004393


zbMATH Keywords

geometry of numberscoverings of space by equal spheres


Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31)


Related Items (1)

A concentration inequality for random polytopes, Dirichlet-Voronoi tiling numbers and the geometric balls and bins problem



Cites Work

  • Hlawka's theorem in the geometry of numbers
  • Lattice Coverings of Space with Convex Bodies
  • Lattice Coverings of Space: The Minkowski-Hlawka Theorem
  • The Packing of Equal Spheres
  • The Covering of n -Dimensional Space by Spheres
  • The Covering of n -Dimensional Space by Spheres


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