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Quick asymptotic upper bounds for lattice kissing numbers

Part of: Geometry of numbers

Published online by Cambridge University Press:  26 February 2010

Nils-Peter Skoruppa
Nils-Peter Skoruppa
Affiliation:
Fachbereich Mathematik. Universität Siegen, Walter-Flex-Straβe 3, 57068 Siegen, Germany. E-mail:skoruppa@math.uni-siegen.de
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Abstract

General upper bounds for lattice kissing numbers are derived using Hurwitz zeta functions and new inequalities for Mellin transforms.

MSC classification

Secondary: 11H31: Lattice packing and covering
Type
Research Article
Information
Mathematika , Volume 49 , Issue 1-2 , June 2002 , pp. 51 - 57
Copyright
Copyright © University College London 2002

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References

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