Abstract
In this paper we give a complete geometrical theory for the study of the exact lower bound of the density of n-dimensional lattices. For arbitrary (r, R)-systems we prove an analog of well known theorems due to Rogers from the theory of packings, and also from this same theory, an analog of a theorem due to Coxeter, Few, and Rogers. Several special examples are treated.
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More From: Mathematical Notes of the Academy of Sciences of the USSR
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