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http://dx.doi.org/10.4134/BKMS.2008.45.4.709

ON SOME RING CLASS FIELDS BY SHIMURA'S CANONICAL MODELS  

Choi, So-Young (DEPARTMENT OF MATHEMATICS EDUCATION DONGGUK UNIVERSITY)
Koo, Ja-Kyung (KOREA ADVANCED INSTITUTE OF SCIENCE AND TECHNOLOGY DEPARTMENT OF MATHEMATICAL SCIENCES)
Publication Information
Bulletin of the Korean Mathematical Society / v.45, no.4, 2008 , pp. 709-715 More about this Journal
Abstract
We construct certain ring class fields over an imaginary quadratic field by making use of Shimura's canonical models and extend the result of Chen-Yui ([1] Theorem 3.7.5(2)) to the case where (a, b, N) $\neq$ N or (a/N, N) $\neq$ 1 for a positive integer N > 1.
Keywords
class fields; Shimura's canonical models; Thompson series;
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  • Reference
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