Turkish Journal of Mathematics
DOI
10.3906/mat-1106-4
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
First Page
165
Last Page
181
Recommended Citation
UZUNKOL, OSMANBEY
(2013)
"Generalized class invariants with `Thetanullwerte\',"
Turkish Journal of Mathematics: Vol. 37:
No.
1, Article 15.
https://doi.org/10.3906/mat-1106-4
Available at:
https://journals.tubitak.gov.tr/math/vol37/iss1/15