
MANFRED KOLSTER, Department of Mathematics, McMaster University, Hamilton, Ontario L8S 4K1, Canada 
Higher relative class number formulas 
Let F/F^{+} be a
CM extension of number fields, and let denote the nontrivial character of the Galois group of F/F^{+}. The
classical relative class number formula gives the following
relation between the value of the Lfunction of at 0 and
the
relative class number h^{}: