Genera and rational equivalence classes of integral quadratic forms
type: Item
instance of: scholarly article
title: Genera and rational equivalence classes of integral quadratic forms
zbMATH Open document ID: 0821.11027
author: Yanyan Li
published in: Journal of Number Theory
publication date: 1995-05-04T00:00:00Z
review text: The author determines the number of genera and the number of classes under rational equivalence of primitive \(n\)-ary quadratic forms of a given nonzero integral determinant \(d\). Both coincide for \(n\geq 3\) if and only if \(d\) is odd and squarefree and, if \(n\) is even, congruent to \(n-1\) modulo 4.
Mathematics Subject Classification ID: 11E20
Mathematics Subject Classification ID: 11E41
zbMATH DE Number: 751311
zbMATH Keywords: integral quadratic form
zbMATH Keywords: rational equivalence class
zbMATH Keywords: number of genera
reviewed by: Meinhard Peters
MaRDI profile type: Publication
full work available at URL: jnth.1995.1043
OpenAlex ID: W2009036988
DOI: 10.1006/JNTH.1995.1043
description: scientific article; zbMATH DE number 751311