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KCI등재
학술저널
Generation of ray class fields of imaginary quadratic fields
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 34, No. 4
- : KCI등재
- 2021.11
- 317 - 326 (10 pages)
DOI : 10.14403/jcms.2021.34.4.317
Let K be an imaginary quadratic field other than Q(sqrt(-1)) and Q(sqrt(-3)), and let O_k be its ring of integers. Let N be a positive integer such that N=5 or N≥7. In this paper, we generate the ray class field modulo NO_K over K by using a single x-coordinate of an elliptic curve with complex multiplication by O_K.
1. Introduction
2. Fields of modular functions
3. Theory of complex multiplication
4. Inequalities on special values of modular functions
5. Generation of ray class elds
References