Generalized class invariants with 'Thetanullwerte'

被引：1

作者：

Uzunkol, Osmanbey ^{[1
]}

机构：

[1] Carl von Ossietzky Univ Oldenburg, Inst Math, D-26111 Oldenburg, Germany

来源：

TURKISH JOURNAL OF MATHEMATICS | 2013年 / 37卷 / 01期

关键词：

Class polynomials; theta functions; complex multiplication; CLASS POLYNOMIALS;

D O I：

10.3906/mat-1106-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：165 / 181

页数：17

共 18 条

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[12] On the Computation of Class Polynomials with "Thetanullwerte" and Its Applications to the Unit Group Computation
Leprevost, Franck
Pohst, Michael
Uzunkol, Osmanbey
[J]. EXPERIMENTAL MATHEMATICS, 2011, 20 (03) : 271 - 281
[13] Schertz R., 2002, J THEOR NOMBR BORDX, V14, P325, DOI DOI 10.5802/JTNB.361
[14] Schertz R., 2010, Complex Multiplication
[15] Silverman J. H., 1994, ADV TOPICS ARITHMETI
[16] Uzunkol O., 2010, THESIS TU BERLIN
[17] Uzunkol O., 2004, THESIS TU KAISERSLAU
[18] Weber H., 1908, LEHRBUCH ALGEBRA, V3

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