ON SOME RING CLASS FIELDS BY SHIMURA'S CANONICAL MODELS

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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References

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Cited by

1. Singular values of principal moduli vol.133, pp.2, 2013, https://doi.org/10.1016/j.jnt.2012.08.006