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Part of the book series: Graduate Texts in Mathematics ((GTM,volume 193))

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Abstract

In [Coh0, Chapter 5], we studied quadratic fields in great detail. The goal of the present chapter is to do the same for cubic fields. We have already studied them in some detail in [Coh0, Chapter 6], but in the present chapter we will deal with deeper subjects and also show how to generate tables of cubic fields almost as efficiently as tables of quadratic fields. The spirit of this chapter is slightly different from that of the preceding chapters, which essentially deal with relative extensions, but the results are sufficiently important to be included in a textbook. Had they been known when [Coh0] was first published, they would, of course, have been included there.

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© 2000 Springer Science+Business Media New York

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Cohen, H. (2000). Cubic Number Fields. In: Advanced Topics in Computational Number Theory. Graduate Texts in Mathematics, vol 193. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8489-0_8

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  • DOI: https://doi.org/10.1007/978-1-4419-8489-0_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6419-4

  • Online ISBN: 978-1-4419-8489-0

  • eBook Packages: Springer Book Archive

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