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

 

Class number computations of real abelian number fields


Author: F. J. van der Linden
Journal: Math. Comp. 39 (1982), 693-707
MSC: Primary 12A50; Secondary 12A35
MathSciNet review: 669662
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Abstract: In this paper we describe the calculation of the class numbers of most real abelian number fields of conductor $ \leqslant 200$. The technique is due to J. M. Masley and makes use of discriminant bounds of A. M. Odlyzko. In several cases we have to assume the generalized Riemann hypothesis.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1982-0669662-5
PII: S 0025-5718(1982)0669662-5
Keywords: Class number, cyclotomic field, abelian number field
Article copyright: © Copyright 1982 American Mathematical Society