Computation of class numbers of quadratic number fields
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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.References
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Additional Information
- Stéphane Louboutin
- Affiliation: Institut de Mathématiques de Luminy, UPR 906, 163, avenue de Luminy, Case 907, 13288 Marseille Cedex 9, France
- Email: loubouti@iml.univ-mrs.fr
- Received by editor(s): March 29, 2000
- Received by editor(s) in revised form: November 27, 2000
- Published electronically: November 21, 2001
- © Copyright 2001 American Mathematical Society
- Journal: Math. Comp. 71 (2002), 1735-1743
- MSC (2000): Primary 11R11, 11R29, 11R21, 11Y35
- DOI: https://doi.org/10.1090/S0025-5718-01-01367-9
- MathSciNet review: 1933052