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Double covering with spheres

Published online by Cambridge University Press:  26 February 2010

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

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