Hasse's class number product formula for generalized Dirichlet fields and other types of number fields

In the 1950's Hasse gave a formula that relates the class number of a biquadratic dicyclic number field to the class numbers of its, three quadratic subfields. Similar formulas are derived here for biquadratic dicyclic extensions of more general base fields, in cases where the base fields retain several properties of ℚ. This article was processed by the author using the Springer-Verlag T_EX mamath macro package 1990