ON SOME THETA CONSTANTS AND CLASS FIELDS

Title & Authors
ON SOME THETA CONSTANTS AND CLASS FIELDS
Shin, Dong Hwa;

Abstract
We first find a sufficient condition for a product of theta constants to be a Siegel modular function of a given even level. And, when $\small{K_{(2p)}}$ denotes the ray class field of $\small{K=\mathbb{Q}(e^{2{\pi}i/5})}$ modulo 2p for an odd prime p, we describe a subfield of $\small{K_{(2p)}}$ generated by the special value of a certain theta constant by using Shimura's reciprocity law.
Keywords
CM-fields;Shimura's reciprocity law;theta functions;
Language
English
Cited by
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