Author:
Jung Ho Yun,Koo Ja Kyung,Shin Dong Hwa
Abstract
We investigate two kinds of Fricke families, those consisting of Fricke functions and those consisting of Siegel functions. In terms of their special values we then generate ray class fields of imaginary quadratic fields over the Hilbert class fields, which are related to the Lang–Schertz conjecture.
Publisher
Cambridge University Press (CUP)
Cited by
5 articles.
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1. Composition law and complex multiplication;Journal of Number Theory;2020-04
2. Siegel families with application to class fields;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2018-06-27
3. Construction of ray-class fields by smaller generators and their applications;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2017-03-20
4. DETERMINATION OF THE FRICKE FAMILIES;Journal of the Korean Mathematical Society;2016-11-01
5. Generation of class fields by using the Weber function;Journal of Number Theory;2016-10