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On the Lattice Determinants of Two Particular Point Sets

✍ Scribed by Mahler, K.

Book ID: 120099383
Publisher: Oxford University Press
Year: 1953
Tongue: English
Weight: 94 KB
Volume: s1-28
Category: Article
ISSN: 0024-6107
DOI: 10.1112/jlms/s1-28.2.229

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## Given an n-dimensional point-lattice A c [w" and a bounded set A c KY, the set S(A) of nonzero lattice points ueA such that A n (A + u) # f~ is called the set of neighbours of A in ,4. In the paper a disjoint decomposition of S(A) is showed which gives a representation of the cardinality N(A) o