Authors: Žunić, Joviša 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: On the number of ways to occupy n lattice points by balls in d-dimensional space
Journal: Journal of Number Theory
Volume: 110
Issue: 2
First page: 396
Last page: 402
Issue Date: 1-Feb-2005
Rank: M22
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2004.08.004
Abstract: 
Let us consider n-point sets which can be obtained as the set intersection of a d-dimensional ball and Zd. We prove that the number of such sets, different up to translations, is upper bounded by O(nd), if d is fixed.
Keywords: Enumerating | Geometry of numbers | Lattice points
Publisher: Elsevier

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