On the Schertz conjecture
arXiv:1610.01311 · doi:10.1017/S0013091518000895
Abstract
Schertz conjectured that every finite abelian extension of imaginary quadratic fields can be generated by the norm of the Siegel-Ramachandra invariants. We shall present a conditional proof of his conjecture by means of the characters on class groups and the second Kronecker limit formula.
9 pages