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

On cyclic cubic fields


Authors: Veikko Ennola and Reino Turunen
Journal: Math. Comp. 45 (1985), 585-589
MSC: Primary 11R29; Secondary 11R16, 11Y40
MathSciNet review: 804947
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Abstract: A table of class numbers and units in cyclic cubic fields with conductor $ < 4000$ has been given by Marie-Nicole Gras [6]. The authors have constructed an extended table for conductor $ < 16000$. The article comprises lists of fields with totally positive fundamental units and fields in which the class group has a Sylow p-subgroup which is not elementary abelian. We also give statistics about the distribution of class numbers.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1985-0804947-3
PII: S 0025-5718(1985)0804947-3
Article copyright: © Copyright 1985 American Mathematical Society