Computation of class numbers of quadratic number fields

Louboutin, Stéphane

doi:10.1090/S0025-5718-01-01367-9

Computation of class numbers of quadratic number fields
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Math. Comp. 71 (2002), 1735-1743 Request permission

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.

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