NOTATION AND TERMINOLOGY
of an algebraic extension K of a field F. The distinction will be clear from the
context. By a Hecke character % of a number field K we mean a continuous T-
valued character of the idele group of K trivial on
and denote by x* the ideal
character associated with x- By a CM-Geld we mean a totally imaginary quadratic
extension of a totally real algebraic number field.