Ring class invariants over imaginary quadratic fields

被引：4
作者：
Eum, Ick Sun [1 ]
Koo, Ja Kyung [1 ]
Shin, Dong Hwa [2 ]
机构：
[1] Korea Adv Inst Sci & Technol, Dept Math Sci, Taejon 305701, South Korea
[2] Hankuk Univ Foreign Studies, Dept Math, Yongin 449791, Gyeonggi Do, South Korea
来源：
FORUM MATHEMATICUM | 2016年 / 28卷 / 02期
关键词：
Class field theory; complex multiplication; elliptic and modular units;
D O I：
10.1515/forum-2014-0007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give some explicit conditions under which the singular values of Delta-quotients generate ring class fields over imaginary quadratic fields.
引用
收藏
页码：201 / 217
页数：17
相关论文
共 50 条
  • [41] Class invariants by Siegel resolvents and the modularity of their Galois traces
    Jung, Ho Yun
    Lee, Yoonjin
    RAMANUJAN JOURNAL, 2022, 57 (01) : 135 - 152
  • [42] Class invariants by Siegel resolvents and the modularity of their Galois traces
    Jung, Ho Yun
    Lee, Yoonjin
    RAMANUJAN JOURNAL, 2021,
  • [43] Invariants for A4 fields and the Cohen-Lenstra heuristics
    Rubinstein-Salzedo, Simon
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2014, 10 (05) : 1259 - 1276
  • [44] Ramanujan's class invariants and their use in elliptic curve cryptography
    Konstantinou, Elisavet
    Kontogeorgis, Aristides
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (08) : 2901 - 2917
  • [45] Class groups of real cyclotomic fields
    Mishra, Mohit
    Schoof, Rene
    Washington, Lawrence C.
    MONATSHEFTE FUR MATHEMATIK, 2021, 195 (03): : 489 - 496
  • [46] Class groups of real cyclotomic fields
    Mohit Mishra
    Rene Schoof
    Lawrence C. Washington
    Monatshefte für Mathematik, 2021, 195 : 489 - 496
  • [47] Siegel families with application to class fields
    Koo, Ja Kyung
    Shin, Dong Hwa
    Yoon, Dong Sung
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2018, 148 (04) : 751 - 771
  • [48] Primitive generators of certain class fields
    Eum, Ick Sun
    Koo, Ja Kyung
    Shin, Dong Hwa
    JOURNAL OF NUMBER THEORY, 2015, 155 : 46 - 62
  • [49] Cohomology groups of Fermat curves via ray class fields of cyclotomic fields
    Davis, Rachel
    Pries, Rachel
    JOURNAL OF ALGEBRA, 2020, 554 : 78 - 105
  • [50] Computing class fields via the Artin map
    Fieker, C
    MATHEMATICS OF COMPUTATION, 2001, 70 (235) : 1293 - 1303
12345