Generalized class invariants with `Thetanullwerte`

Authors : Osmanbey UZUNKOL

Pages : 165-181

Doi:10.3906/mat-1106-4

View : 11 | Download : 6

Publication Date : 0000-00-00

Article Type : Research Paper

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.
Keywords : Key words Class polynomials, theta functions, complex multiplication