Jacobi and Kummer's Ideal Numbers

Details Jacobi and Kummer's Ideal Numbers Jacobi and Kummer's Ideal Numbers

2011-08-30

arxiv.org/abs/1108.6066v1

Abh. Math. Semin. Univ. Hamb. 79, No. 2, 165-187 (2009)

Mathematics

Number Theory

Scientific paper

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.

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