Hasse's class number product formula for generalized Dirichlet fields and other types of number fields
Copyright policy )Hasse's class number product formula for generalized Dirichlet fields and other types of number fields
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).
- DigiZeitschriften Germany
- University of Memphis United States
class number, \(K\)-theory of global fields, 510.mathematics, Class numbers, class groups, discriminants, biquadratic dicyclic extensions, Article, Other number fields
class number, \(K\)-theory of global fields, 510.mathematics, Class numbers, class groups, discriminants, biquadratic dicyclic extensions, Article, Other number fields
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