Covering and packing in \({\mathbb Z}^n\) and \({\mathbb R}^n\). I

DOI10.1007/s00605-007-0500-6zbMath1151.11029OpenAlexW2031184869MaRDI QIDQ2482220

David M. Tuller

Publication date: 16 April 2008

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-007-0500-6

zbMATH Keywords

tilingscovering frequencypacking frequency

Mathematics Subject Classification ID

Lattice packing and covering (number-theoretic aspects) (11H31) Density, gaps, topology (11B05) Combinatorial aspects of packing and covering (05B40)

Related Items (5)

Solution to a conjecture of Schmidt and Tuller on one-dimensional packings and coverings ⋮ Max-norm Ramsey theory ⋮ On the dimension of systems of algebraic difference equations ⋮ Covering and packing in \({\mathbb Z^n}\) and \({\mathbb R^n}\). II ⋮ Polychromatic Colorings on the Integers

Cites Work

• Tiling, packing, and covering by clusters
• Some covering and packing results in number theory
• Tesselation of integers
• Tiling the integers with translates of one finite set
• Spectral sets and factorizations of finite abelian groups
• Complementary sets of finite sets
• Translational tilings of the integers with long periods
• Spectra of certain types of polynomials and tiling of integers with translates of finite sets.
• Complements of finite sets of integers
• Divisibility of integer polynomials and tilings of the integers
• Sur le problème de factorisation des groupes cycliques

This page was built for publication: Covering and packing in \({\mathbb Z}^n\) and \({\mathbb R}^n\). I