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 On some ring class fields by Shimura's canonical models Bull. Korean Math. Soc. 2008 Vol. 45, No. 4, 709-715 Printed December 1, 2008 SoYoung Choi and Ja Kyung Koo Dongguk University and KAIST 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 MSC numbers : 11F06, 20H10, 22E40, 30F35 Downloads: Full-text PDF