| 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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