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Lattice packing of nearly-euclidean balls in spaces of even dimension

Published online by Cambridge University Press:  20 January 2009

J. A. Rush
J. A. Rush
Affiliation:
Department of Mathematics, Box 354350University of WashingtonSeattle, WA 98195USA E-mail address: jar@math.washington.edu
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Abstract

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We consider nearly-Euclidean balls of the shape

where ε is a small positive number, and n is even. If ε is small enough, then the maximum lattice-packing density of this body is essentially greater than the Minkowski-Hlawka bound for large n.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 1 , February 1996 , pp. 163 - 169
Copyright
Copyright © Edinburgh Mathematical Society 1996

References

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