Dergiler / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 1

Generalized class invariants with `Thetanullwerte\'

Sayfa
165–181
DOI
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Özet

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 h-function. Furthermore, we prove that these invariants are units in the corresponding class field as most of their classical counterparts.

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 h-function. Furthermore, we prove that these invariants are units in the corresponding class field as most of their classical counterparts.