Generalized class invariants with ’Thetanullwerte’

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 η−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

Cite this paper

@inproceedings{Uzunkol2011GeneralizedCI, title={Generalized class invariants with ’Thetanullwerte’}, author={Osmanbey Uzunkol}, year={2011} }