Primitive generators of certain class fields

被引：2
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：
JOURNAL OF NUMBER THEORY | 2015年 / 155卷
关键词：
Class field theory; Modular functions;
D O I：
10.1016/j.jnt.2015.03.011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We find primitive generators of certain class fields of imaginary quadratic fields as real algebraic integers which arise from the study of some quadratic Diophantine equations. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：46 / 62
页数：17
相关论文
共 48 条
  • [1] Construction of ray-class fields by smaller generators and their applications
    Koo, Ja Kyung
    Yoon, Dong Sung
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2017, 147 (04) : 781 - 812
  • [2] Class fields and form class groups for solving certain quadratic Diophantine equations
    Jung, Ho Yun
    Koo, Ja Kyung
    Shin, Dong Hwa
    On, Dong Sung Yo
    JOURNAL OF NUMBER THEORY, 2025, 275 : 1 - 34
  • [3] On special values of generators of modular function fields
    Shin, Dong Hwa
    Yoon, Dong Sung
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 530 (02)
  • [4] Form class groups for extended ring class fields
    Koo, Ja Kyung
    Shin, Dong Hwa
    Yoon, Dong Sung
    JOURNAL OF NUMBER THEORY, 2019, 197 : 13 - 36
  • [5] Form Class Groups and Class Fields of CM-Fields
    Ho Yun Jung
    Ja Kyung Koo
    Dong Hwa Shin
    Dong Sung Yoon
    Results in Mathematics, 2023, 78
  • [6] Form Class Groups and Class Fields of CM-Fields
    Jung, Ho Yun
    Koo, Ja Kyung
    Shin, Dong Hwa
    Yoon, Dong Sung
    RESULTS IN MATHEMATICS, 2023, 78 (01)
  • [7] Class fields generated by coordinates of elliptic curves
    Jung, Ho Yun
    Koo, Ja Kyung
    Shin, Dong Hwa
    OPEN MATHEMATICS, 2022, 20 (01): : 1145 - 1158
  • [8] CLASS NUMBER FORMULAS FOR CERTAIN BICYCLIC BIQUADRATIC NUMBER FIELDS AS FINITE SUMS INVOLVING JACOBI ELLIPTIC FUNCTIONS
    Gomez-Molleda, M. A.
    Lario, Joan-C.
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2012, 8 (05) : 1257 - 1270
  • [9] Construction of Class Fields Over Imaginary Biquadratic Fields
    Koo, Ja Kyung
    Yoon, Dong Sung
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2019, 68 (02) : 413 - 434
  • [10] On Siegel invariants of certain CM-fields
    Koo, Ja Kyung
    Robert, Gilles
    Shin, Dong Hwa
    Yoon, Dong Sung
    RAMANUJAN JOURNAL, 2021, 54 (02) : 261 - 284
12345