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Counting Lattice Points by Means of the Residue Theorem

✍ Scribed by Matthias Beck


Book ID
110282009
Publisher
Springer US
Year
2000
Tongue
English
Weight
92 KB
Volume
4
Category
Article
ISSN
1382-4090

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The number of configurations in lattice
✍ 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