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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Computation of relative class numbers
of CM-fields


Author: Stéphane Louboutin
Journal: Math. Comp. 66 (1997), 1185-1194
MSC (1991): Primary 11R29, 11Y35; Secondary 11R42
MathSciNet review: 1422790
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Abstract | References | Similar Articles | Additional Information

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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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

DOI: http://dx.doi.org/10.1090/S0025-5718-97-00863-6
PII: S 0025-5718(97)00863-6
Received by editor(s): December 5, 1995
Received by editor(s) in revised form: April 12, 1996
Article copyright: © Copyright 1997 American Mathematical Society