Parity of class numbers and Witt equivalence of quartic fields

Jakubec, Stanislav; Marko, František; Szymiczek, Kazimierz

doi:10.1090/S0025-5718-1995-1308455-1

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
DOI: https://doi.org/10.1090/S0025-5718-1995-1308455-1
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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