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

Generalized class invariants with `Thetanullwerte\'

Pages
165–181
DOI
—

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.

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.