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arXiv:1108.6066math.NT

Jacobi and Kummer's Ideal Numbers

Franz Lemmermeyer

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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.

arXiv comments
Journal reference
Abh. Math. Semin. Univ. Hamb. 79, No. 2, 165-187 (2009)
DOI
Subjects
math.NTNumber Theory

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  1. Learning math? Think like a cartoonist 1 comment

    • If you're interested in ring theory, for example, Kummer's 1844 manuscript on "ideal complex numbers" clarified a bunch of undergraduate algebra for me. Overviews: https://projecteuclid.org/journalArticle/Download?urlid=bams... https://arxiv.org/pdf/1108.6066.pdf

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