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

✍ Scribed by Joviša Žunić

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 171 KB
• Volume: 110
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1016/j.jnt.2004.08.004

✦ Synopsis

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.