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Abstract theory of packings and coverings. I.

Published online by Cambridge University Press:  18 May 2009

A. M. Macbeath
A. M. Macbeath
Affiliation:
Queen's College, Dundee
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The aim of this note is to examine the basic ideas underlying Minkowski's theorem on lattice points in a symmetrical convex body and related results of Blichfeldt, and to indicate how these can be generalized. Theorems analogous to Minkowski's, on the automorphisms of quadratic forms and other linear groups and on Fuchsian groups of transformations in the complex plane, have been obtained by Siegel [6] and Tsuji [7], Generalizations which include these are due to Chabauty [2] and Santalo [5].

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 4 , Issue 2 , July 1959 , pp. 92 - 95
Copyright
Copyright © Glasgow Mathematical Journal Trust 1959

References

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