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Integral and rational completions of combinatorial matrices

✍ Scribed by Eric Verheiden

Publisher: Elsevier Science
Year: 1978
Tongue: English
Weight: 515 KB
Volume: 25
Category: Article
ISSN: 0097-3165
DOI: 10.1016/0097-3165(78)90019-5

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The purpose of this paper is to determine the number of genera and the number of classes under rational equivalence of primitive \(n\)-ary quadratic forms of a given nonzero integral determinant. As a consequence a simple criterion is given to characterize the rational equivalence classes which cons