Jacobi and Kummer’s ideal numbers

Article

DOI: 10.1007/s12188-009-0020-5

Cite this article as:
Lemmermeyer, F. Abh. Math. Semin. Univ. Hambg. (2009) 79: 165. doi:10.1007/s12188-009-0020-5
  • 131 Downloads

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.

Keywords

Jacobi Kummer Dedekind Ideal primes Cyclotomic fields Fermat’s last theorem Valuations Integral closure 

Mathematics Subject Classification (2000)

01A55 11R18 

Copyright information

© Mathematisches Seminar der Universität Hamburg and Springer 2009

Authors and Affiliations

  1. 1.JagstzellGermany

Personalised recommendations