Hasse's class number product formula for generalized Dirichlet fields and other types of number fields (Q1803005)
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scientific article; zbMATH DE number 219910
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hasse's class number product formula for generalized Dirichlet fields and other types of number fields |
scientific article; zbMATH DE number 219910 |
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Hasse's class number product formula for generalized Dirichlet fields and other types of number fields (English)
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29 June 1993
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The author extends Hasse's classical class number formula for biquadratic number fields to biquadratic dicyclic extensions over a totally real base field, which has odd class number, only one dyadic prime and units with independent signs. The proofs use the cohomological device of the ``exact hexagon'' developed by \textit{P. E. Conner} and \textit{J. Hurrelbrink} in ``Class number parity'' (Pure Math. Ser. 8) (1988; Zbl 0743.11061).
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class number
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biquadratic dicyclic extensions
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