| 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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