On some Fricke families and application to the Lang–Schertz conjecture
On some Fricke families and application to the Lang–Schertz conjecture
We investigate two kinds of Fricke families, those consisting of Fricke functions and those consisting of Siegel functions. In terms of their special values we then generate ray class fields of imaginary quadratic fields over the Hilbert class fields, which are related to the Lang–Schertz conjecture.