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The number of configurations in lattice point counting II

✍ Scribed by Huxley, M. N.; Zunic, J.

Book ID
126674605
Publisher
Oxford University Press
Year
2013
Tongue
English
Weight
626 KB
Volume
107
Category
Article
ISSN
0024-6115

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The number of configurations in lattice
The number of configurations in lattice point counting I
✍ Huxley, Martin N.; Ε½uniΔ‡, JoviΕ‘a πŸ“‚ Article πŸ“… 2010 πŸ› Walter de Gruyter GmbH & Co. KG 🌐 English βš– 310 KB

When a strictly convex plane set S moves by translation, the set J of points of the integer lattice that lie in S changes. The number K of equivalence classes of sets J under lattice translations (configurations) is bounded in terms of the area of the Brunn-Minkowski difference set of S. If S satisf