A note on integral Euclidean lattices in dimension 3
type: Item
instance of: scholarly article
title: A note on integral Euclidean lattices in dimension 3
zbMATH Open document ID: 1109.11024
published in: Archiv der Mathematik
publication date: 2006-03-21T00:00:00Z
review text: Given an integral lattice \(\Lambda\) in Euclidean \(n\)-space, its theta series is defined to be \(\Theta_\Lambda=\sum_{k=0}^\infty a_kq^k\) where \(a_k\) denotes the number of lattice points at a distance \(\sqrt{k}\) from the origin. In even dimension, many examples of such lattices are known where \(\Theta_\Lambda\equiv1\text{ (mod }p\))
Mathematics Subject Classification ID: 11E12
Mathematics Subject Classification ID: 11H06
Mathematics Subject Classification ID: 11F27
zbMATH DE Number: 5013997
zbMATH Keywords: Euclidean lattices
zbMATH Keywords: theta series
author: Eiichi Bannai
MaRDI profile type: Publication
full work available at URL: s00013-005-1517-5
OpenAlex ID: W1979846384
DOI: 10.1007/S00013-005-1517-5
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description: scientific article; zbMATH DE number 5013997