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

 

Parity of class numbers and Witt equivalence of quartic fields


Authors: Stanislav Jakubec, František Marko and Kazimierz Szymiczek
Journal: Math. Comp. 64 (1995), 1711-1715
MSC: Primary 11R29; Secondary 11E81, 11R16
Corrigendum: Math. Comp. 66 (1997), 927.
MathSciNet review: 1308455
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Abstract: We show that 27 out of the 29 Witt equivalence classes of quartic number fields can be represented by fields of class number 1. It is known that the remaining two classes contain solely fields of even class numbers. We show that these two classes can be represented by fields of class number 2.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1995-1308455-1
PII: S 0025-5718(1995)1308455-1
Article copyright: © Copyright 1995 American Mathematical Society