Counting lattice points in pyramids
type: Item
instance of: scholarly article
title: Counting lattice points in pyramids
zbMATH Open document ID: 0830.11022
DOI: 10.1016/0012-365X(94)00142-6
author: Patrick Solé
published in: Discrete Mathematics
publication date: 1996-02-01T00:00:00Z
review text: The author considers the analogue of the theta function of a lattice when the Euclidean norm is replaced by the \(L_1\) norm; this is then called the nu function. For lattices obtained by one of Constructions A or B from binary codes, he expresses the nu function in terms of the Hamming weight enumerator. Finally the connection with enumerative combinatorics is pointed out.
Mathematics Subject Classification ID: 11H06
Mathematics Subject Classification ID: 94B05
Mathematics Subject Classification ID: 11P21
zbMATH DE Number: 773919
zbMATH Keywords: counting lattice points
zbMATH Keywords: code lattice
zbMATH Keywords: nu function
zbMATH Keywords: enumerative combinatorics
reviewed by: Heinz-Georg Quebbemann
MaRDI profile type: Publication
cites work: Q4039784
cites work: Polynômes arithmétiques et méthode des polyedres en combinatoire
cites work: Lattice points in high-dimensional spheres
cites work: Q3748279
cites work: Asymptotic quantization error of continuous signals and the quantization dimension
description: scientific article; zbMATH DE number 773919