Siegel families with application to class fields

被引：2

作者：

Koo, Ja Kyung ^{[1
]}

Shin, Dong Hwa ^{[2
]}

Yoon, Dong Sung ^{[1
,3
]}

机构：

[1] Korea Adv Inst Sci & Technol, Dept Math Sci, Daejeon 34141, South Korea

[2] Hankuk Univ Foreign Studies, Dept Math, Yongin 17035, Gyeonggi Do, South Korea

[3] Ulsan Natl Inst Sci & Technol, Dept Math Sci, Ulsan 44919, South Korea

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2018年 / 148卷 / 04期

关键词：

abelian varieties; class field theory; Shimura's reciprocity law; CM-fields; Siegel modular functions;

D O I：

10.1017/S030821051700052X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate certain families of meromorphic Siegel modular functions on which Galois groups act in a natural way. By using Shimura's reciprocity law we construct some algebraic numbers in the ray class fields of CM-fields in terms of special values of functions in these Siegel families.

引用

页码：751 / 771

页数：21

共 13 条

[1] [Anonymous], 2004, Grundl. Math. Wiss.
[2] [Anonymous], 1971, PUBLICATIONS MATH SO
[3] [Anonymous], 2014, Math. Sci. Res. Inst. Publ
[4] GRANT D, 1991, P LOND MATH SOC, V62, P121
[5] ON GRADED RING OF THETA-CONSTANTS .2.
IGUSA, JI
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1966, 88 (01) : 221 - &
[6] On some Fricke families and application to the Lang-Schertz conjecture
Jung, Ho Yun
Koo, Ja Kyung
Shin, Dong Hwa
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2016, 146 (04) : 723 - 740
[7] Klingen H, 1990, Cambridge Studies in Advanced Mathematics, V20
[8] Koo J.K., 2015, PREPRINT
[9] Koo JK, 2017, RAMANUJAN J, V42, P583, DOI 10.1007/s11139-015-9742-4
[10] Kubert Daniel S., 1981, Fundamental Principles of Mathematical Sciences, V244

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