The classification of positive definite unimodular lattices over \(\mathbb{Z} [(1+ \sqrt{21})/2]\)
type: Item
instance of: scholarly article
zbMATH Open document ID: 0986.11027
author: Ruiqing Wang
publication date: 2001-11-07T00:00:00Z
Mathematics Subject Classification ID: 11E41
Mathematics Subject Classification ID: 11E20
Mathematics Subject Classification ID: 11E12
zbMATH DE Number: 1623655
zbMATH Keywords: quaternary quadratic forms
zbMATH Keywords: class numbers
zbMATH Keywords: classification
MaRDI profile type: Publication
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title: The classification of positive definite unimodular lattices over \(\mathbb{Z} [(1+ \sqrt{21})/2]\)
published in: Chinese Quarterly Journal of Mathematics
review text: By combining Siegel's mass formula and Kneser's neighbour lattice method, the author classifies positive definite unimodular lattices of rank 4 over \(\mathbb{Z}[(1+\sqrt{21})/2]\). There are two genera with three classes (in the even case) resp. nine classes (in the genus of the unit form), and representatives of all these classes are computed.
reviewed by: Meinhard Peters
description: scientific article; zbMATH DE number 1623655