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Siegel families with application to class fields

Published online by Cambridge University Press:  27 June 2018

Ja Kyung Koo
Affiliation:
Department of Mathematical Sciences, KAIST, Daejeon 34141, Republic of Korea (jkkoo@math.kaist.ac.kr)
Dong Hwa Shin
Affiliation:
Department of Mathematics, Hankuk University of Foreign Studies, Yongin-si, Gyeonggi-do 17035, Republic of Korea (dhshin@hufs.ac.kr)
Dong Sung Yoon
Affiliation:
Department of Mathematical Sciences, KAIST, Daejeon 34141, Republic of Korea
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Abstract

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.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2018 

Footnotes

*

Present address: Department of Mathematical Sciences, Ulsan National Institute of Science and Technology, Ulsan 44919, Republic of Korea (dsyoon@unist.ac.kr).

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