Generalized class invariants with `Thetanullwerte\'

Authors: OSMANBEY UZUNKOL

Abstract: 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.

Keywords: Class polynomials, theta functions, complex multiplication

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