Siegel families with application to class fields
Number Theory
2016-04-11 v2
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.
Keywords
Cite
@article{arxiv.1601.00404,
title = {Siegel families with application to class fields},
author = {Ja Kyung Koo and Dong Hwa Shin and Dong Sung Yoon},
journal= {arXiv preprint arXiv:1601.00404},
year = {2016}
}
Comments
18 pages