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Computing ray class groups, conductors and discriminants

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Algorithmic Number Theory (ANTS 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1122))

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Abstract

We describe the computation of ray class groups of number fields, conductors and discriminants of the corresponding Abelian extensions. As an application we give several number fields with discriminants less than previously known ones.

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References

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Authors and Affiliations

  1. Laboratoire A2X, Université Bordeaux I, 351 cours de la Libération, 33405, Talence

    H. Cohen, F. Diaz y Diaz & M. Olivier

Authors
  1. H. Cohen
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  2. F. Diaz y Diaz
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  3. M. Olivier
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Editor information

Henri Cohen

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© 1996 Springer-Verlag Berlin Heidelberg

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Cohen, H., y Diaz, F.D., Olivier, M. (1996). Computing ray class groups, conductors and discriminants. In: Cohen, H. (eds) Algorithmic Number Theory. ANTS 1996. Lecture Notes in Computer Science, vol 1122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61581-4_40

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  • DOI: https://doi.org/10.1007/3-540-61581-4_40

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61581-1

  • Online ISBN: 978-3-540-70632-8

  • eBook Packages: Springer Book Archive

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