A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
On the computation of the class number of an algebraic number field

1989
*
Mathematics of Computation
*

It is shown how the analytic class number formula can be used to produce an algorithm which efficiently computes the class number h of an algebraic number field F. The method assumes the truth of the Generalized Riemann Hypothesis in order to estimate the residue of the Dedekind zeta function of F at s = 1 sufficiently well that h can be determined unambiguously. Given the regulator R of F and a known divisor h* of h, it is shown that this technique will produce the value of h in

doi:10.1090/s0025-5718-1989-0979937-4
fatcat:wqowecyaarab3jxd64w3kgjedm