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On Lattice Coverings of Nil Space by Congruent Geodesic Balls

✍ Scribed by Jenő Szirmai


Book ID
120922800
Publisher
SP Birkhäuser Verlag Basel
Year
2012
Tongue
English
Weight
393 KB
Volume
10
Category
Article
ISSN
1660-5446

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On the number of ways to occupy lattice
✍ Joviša Žunić 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 171 KB

Let us consider n-point sets which can be obtained as the set intersection of a d-dimensional ball and Z d . We prove that the number of such sets, different up to translations, is upper bounded by O n d , if d is fixed.