Ring class invariants over imaginary quadratic fields. (English) Zbl 1408.11060
Summary: We give some explicit conditions (by adopting Schertz’s argument with the Siegel-Ramachandra invariant) under which the singular values of \(\Delta\)-quotients generate ring class fields over imaginary quadratic fields.
MSC:
11G16 | Elliptic and modular units |
11R37 | Class field theory |
11F03 | Modular and automorphic functions |
11G15 | Complex multiplication and moduli of abelian varieties |