The number of configurations in lattice point counting I
نویسندگان
چکیده
منابع مشابه
The number of configurations in lattice point counting I
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 satisfies the Triangle Condition, that no translate of S has three distinct lattice points in the bound...
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ژورنال
عنوان ژورنال: Forum Mathematicum
سال: 2010
ISSN: 0933-7741,1435-5337
DOI: 10.1515/forum.2010.007