Arithmetic sums and Stickelberger elements
type: Item
instance of: scholarly article
title: Arithmetic sums and Stickelberger elements
zbMATH Open document ID: 0863.11074
author: A. Bayad
author: Werner Bley
author: Philippe Cassou-Noguès
published in: Journal of Algebra
publication date: 1997-06-08T00:00:00Z
review text: One considers an analogue of the theorem of Stickelberger on the prime factorization of Gauss sums and on the resulting annihilators of the class group. Gauss sums are replaced by certain resolvents associated to elliptic curves, introduced by Chan and in special cases already by Abel and Jacobi. The results generalize those obtained previously by the first author and by the last author and Taylor.
reviewed by: J. Brinkhuis
Mathematics Subject Classification ID: 11R29
Mathematics Subject Classification ID: 11R33
zbMATH DE Number: 840163
zbMATH Keywords: prime factorization
zbMATH Keywords: resolvents
zbMATH Keywords: elliptic curves
MaRDI profile type: Publication
full work available at URL: jabr.1996.0008
OpenAlex ID: W2049497292
DOI: 10.1006/JABR.1996.0008
description: scientific article; zbMATH DE number 840163