English

Jacobi and Kummer's Ideal Numbers

Number Theory 2011-09-01 v1

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

Cite

@article{arxiv.1108.6066,
  title  = {Jacobi and Kummer's Ideal Numbers},
  author = {Franz Lemmermeyer},
  journal= {arXiv preprint arXiv:1108.6066},
  year   = {2011}
}
R2 v1 2026-06-21T18:57:27.916Z