Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-28T07:08:27.666Z Has data issue: false hasContentIssue false
  • English
  • Français

Double covering with spheres

Published online by Cambridge University Press:  26 February 2010

L. Few
L. Few
Affiliation:
Department of Mathematics, University College, London.
Get access

Extract

Let Λ be a lattice in 3-dimensional space which provides a double covering for spheres of unit radius. By this we mean that if X is any point of space, there are at least two distinct lattice points P, Q such that XP ≤ 1, XQ ≤ 1. Let d(Λ) be the determinant of Λ. We shall prove that

where

Type
Research Article
Information
Mathematika , Volume 14 , Issue 2 , December 1967 , pp. 207 - 214
Copyright
Copyright © University College London 1967

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)