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The number of configurations in lattice point counting I

✍ Scribed by Huxley, Martin N.; Žunić, Joviša

Book ID
126674649
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2010
Tongue
English
Weight
310 KB
Volume
22
Category
Article
ISSN
0933-7741

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The number of configurations in lattice
The number of configurations in lattice point counting I
✍ Huxley, Martin N.; Žunić, Joviša 📂 Article 📅 2010 🏛 Walter de Gruyter GmbH & Co. KG 🌐 English ⚖ 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