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Lattice coverings of five space by spheres

Published online by Cambridge University Press:  26 February 2010

A. C. Woods
A. C. Woods
Affiliation:
The Ohio State University, Columbus, Ohio, U.S.A.
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Extract

Let L be a lattice in euclidean n-space Rn of determinant d(L). A well-known problem in the geometry of numbers is whether

(1) if d(L) = l and there exists a sphere centred at the origin containing n linearly independent points of L on its boundary and none other than the origin inside, then any sphere in Rn of radius ½√ contains a point of L.

Type
Research Article
Information
Mathematika , Volume 12 , Issue 2 , December 1965 , pp. 143 - 150
Copyright
Copyright © University College London 1965

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