We introduce generalized class invariants as quotients of Thetanullwerte, which realize the computation of class polynomials more efficiently than as quotients of values of the Dedekind \eta-function. Furthermore, we prove that these invariants are units in the corresponding class field as most of their classical counterparts.
Class polynomials, theta functions, complex multiplication
"Generalized class invariants with `Thetanullwerte\',"
Turkish Journal of Mathematics: Vol. 37:
1, Article 15.
Available at: https://journals.tubitak.gov.tr/math/vol37/iss1/15