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Construction of Tables of Quartic Number Fields

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Algorithmic Number Theory (ANTS 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1838))

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Abstract

We explain how to construct efficiently tables of quartic fields by using Dirichlet series coming from Kummer theory, instead of the traditional methods using the geometry of numbers.

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Authors and Affiliations

  1. Laboratoire A2X, U.M.R. 5465 du C.N.R.S., Université Bordeaux I, 351 Cours de la Libération, 33405, Talence Cedex, France

    Henri Cohen, Francisco Diaz y Diaz & Michel Olivier

Authors
  1. Henri Cohen
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  2. Francisco Diaz y Diaz
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  3. Michel Olivier
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Editor information

Editors and Affiliations

  1. Mathematisch Instituut, Universiteit Nijmegen, Postbus 9010, 6500 GL, Nijmegen, The Netherlands

    Wieb Bosma

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© 2000 Springer-Verlag Berlin Heidelberg

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Cohen, H., Diaz y Diaz, F., Olivier, M. (2000). Construction of Tables of Quartic Number Fields. In: Bosma, W. (eds) Algorithmic Number Theory. ANTS 2000. Lecture Notes in Computer Science, vol 1838. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10722028_14

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  • DOI: https://doi.org/10.1007/10722028_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67695-9

  • Online ISBN: 978-3-540-44994-2

  • eBook Packages: Springer Book Archive

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