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Computation of relative class numbers of CM-fields
Authors:Sté  phane Louboutin.
Affiliation:Université de Caen, U.F.R. Sciences, Département de Mathématiques, Esplanade de la Paix, 14032 Caen Cedex, France
Abstract:It was well known that it is easy to compute relative class numbers of abelian CM-fields by using generalized Bernoulli numbers (see Theorem 4.17 in Introduction to cyclotomic fields by L. C. Washington, Grad. Texts in Math., vol. 83, Springer-Verlag, 1982). Here, we provide a technique for computing the relative class number of any CM-field.

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