ON SOME RING CLASS FIELDS BY SHIMURA'S CANONICAL MODELS

Title & Authors
ON SOME RING CLASS FIELDS BY SHIMURA'S CANONICAL MODELS
Choi, So-Young; Koo, Ja-Kyung;

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) $\small{\neq}$ N or (a/N, N) $\small{\neq}$ 1 for a positive integer N > 1.
Keywords
class fields; Shimura's canonical models;Thompson series;
Language
English
Cited by
1.
Singular values of principal moduli, Journal of Number Theory, 2013, 133, 2, 475
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