On the number of ways to occupy n lattice points by balls in d-dimensional space

被引：3
|
作者：
Zunic, J [1 ]
机构：
[1] Univ Exeter, Dept Comp Sci, Exeter EX4 4QF, Devon, England
来源：
JOURNAL OF NUMBER THEORY | 2005年 / 110卷 / 02期
关键词：
Lattice points; geometry of numbers; enumerating;
D O I：
10.1016/j.jnt.2004.08.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：396 / 402
页数：7
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