Computation of relative class numbers of CM-fields
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- Math. Comp. 66 (1997), 1185-1194 Request permission
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.References
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Additional Information
- Stéphane Louboutin
- Affiliation: Université de Caen, U.F.R. Sciences, Département de Mathématiques, Esplanade de la Paix, 14032 Caen Cedex, France
- Email: loubouti@math.unicaen.fr
- Received by editor(s): December 5, 1995
- Received by editor(s) in revised form: April 12, 1996
- © Copyright 1997 American Mathematical Society
- Journal: Math. Comp. 66 (1997), 1185-1194
- MSC (1991): Primary 11R29, 11Y35; Secondary 11R42
- DOI: https://doi.org/10.1090/S0025-5718-97-00863-6
- MathSciNet review: 1422790