Computation of class numbers of quadratic number fields

  • Authors:

  • Stéphane Louboutin

  • Affiliations:

  • Institut de Mathématiques de Luminy, UPR 906, 163, Avenue de Luminy, Case 907, 13288 Marseille Cedex 9, France

  • Venue:
  • Mathematics of Computation
  • Year:
  • 2002

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Abstract

We explain how one can dispense with the numerical computation of approximations to the transcendental integral functions involved when computing class numbers of quadratic number fields. We therefore end up with a simpler and faster method for computing class numbers of quadratic number fields. We also explain how to end up with a simpler and faster method for computing relative class numbers of imaginary abelian number fields.