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Genera and Rational Equivalence Classes of Integral Quadratic Forms

✍ Scribed by A. Arenas

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 384 KB
Volume: 51
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1995.1043

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✦ Synopsis

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 consist of exactly one genus. (1) 1995 Academic Press. Inc

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