Fourier coefficients of Jacobi forms over Cayley numbers
type: Item
instance of: scholarly article
title: Fourier coefficients of Jacobi forms over Cayley numbers
zbMATH Open document ID: 0824.11032
DOI: 10.4171/RMI/168
author: Minking Eie
published in: Revista Matemática Iberoamericana
publication date: 1995-08-28T00:00:00Z
full work available at URL: https://eudml.org/doc/39482
review text: In an earlier paper the author and the reviewer [The theory of Jacobi forms over the Cayley numbers, Trans. Am. Math. Soc. 342, 793-805 (1994)] explicitly studied Jacobi forms on \({\mathcal H} \times \mathbb{C}^ 8\), where \({\mathcal H}\) is the complex upper half-plane and \(\mathbb{C}^ 8\) is realized in terms of the Cayley numbers over \(\mathbb{C}\). In the paper under review the author investigates the attached Eisenstein series of weight \(k\) and index \(m\). The Fourier coefficients are calculated explicitly. They turn out to be finite products of certian geometric sums.
Mathematics Subject Classification ID: 11F50
Mathematics Subject Classification ID: 11F30
zbMATH DE Number: 766472
zbMATH Keywords: Jacobi forms
zbMATH Keywords: Cayley numbers
zbMATH Keywords: Eisenstein series
zbMATH Keywords: Fourier coefficients
reviewed by: Aloys Krieg
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 766472