Elliptic functions according to Eisenstein and Kronecker: an update
type: Item
instance of: scholarly article
title: Elliptic functions according to Eisenstein and Kronecker: an update
zbMATH Open document ID: 1357.11003
DOI: 10.4171/NEWS/101/4
author: Pierre Charollois
author: Robert Sczech
published in: European Mathematical Society Newsletter
publication date: 2017-03-22T00:00:00Z
review text: Summary: This article introduces a set of recently discovered lecture notes from the last course of Leopold Kronecker, delivered a few weeks before his death in December 1891. The notes, written by F. von Dalwigk, elaborate on the late recognition by Kronecker of the importance of the ``Eisenstein summation process'', invented by the ``companion of his youth'' in order to deal with conditionally convergent series that are known today as Eisenstein series. We take this opportunity to give a brief update of the well known book by André Weil (1976) that brought these results of Eisenstein and Kronecker back to light. We believe that Eisenstein's approach to the theory of elliptic functions was in fact a very important part of Kronecker's planned proof of his visionary ``Jugendtraum''.
Mathematics Subject Classification ID: 11-03
Mathematics Subject Classification ID: 01A55
Mathematics Subject Classification ID: 11F03
Mathematics Subject Classification ID: 33E05
zbMATH DE Number: 6696479
zbMATH Keywords: Leopold Kronecker
zbMATH Keywords: elliptic functions
zbMATH Keywords: Eisenstein summation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6696479