Construction of Jacobi forms from certain combinatorial polynomials
type: Item
instance of: scholarly article
title: Construction of Jacobi forms from certain combinatorial polynomials
zbMATH Open document ID: 0860.11026
author: Eiichi Bannai
author: Michio Ozeki
published in: Proceedings of the Japan Academy. Series A
publication date: 1996-07-07T00:00:00Z
review text: The authors use the term ``Jacobi polynomial'' to denote certain polynomials in two variables which arise from doubly-even selfdual codes in analogy with Jacobi theta series of euclidean lattices. As in the well-known one-variable case (Hamming weight enumerators and elliptic modular forms), there is a unitary reflection group under which the polynomials are invariant, a Gleason-type theorem for the invariant ring and a map into the ring of Jacobi forms. Further study of this map is announced.
Mathematics Subject Classification ID: 11F50
Mathematics Subject Classification ID: 94B05
zbMATH DE Number: 897705
zbMATH Keywords: Jacobi form
zbMATH Keywords: Jacobi polynomial
zbMATH Keywords: weight enumerator polynomials
zbMATH Keywords: Jacobi theta series
reviewed by: Heinz-Georg Quebbemann
MaRDI profile type: Publication
full work available at URL: pjaa.72.12
OpenAlex ID: W2094507069
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DOI: 10.3792/PJAA.72.12
description: scientific article; zbMATH DE number 897705