Jacobi and Kummer’s ideal numbers

Purchase on Springer.com

$39.95 / €34.95 / £29.95*

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

In this article we give a modern interpretation of Kummer’s ideal numbers and show how they developed from Jacobi’s work on cyclotomy, in particular the methods for studying “Jacobi sums” which he presented in his lectures on number theory and cyclotomy in the winter semester 1836/37.

Communicated by U. Kühn.
Dem Andenken an Herbert Pieper (1943–2008) gewidmet.
Eine Würdigung von E. Knobloch zu Piepers 65. Geburtstag findet sich auf http://www.uni-potsdam.de/u/romanistik/humboldt/hin/hin16/knobloch.htm.