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math.NT2014
Construction of ray class fields by smaller generators and applications
Ja Kyung Koo, Dong Sung Yoon
We first generate ray class fields over imaginary quadratic fields in terms of Siegel-Ramachandra invariants, which would be an extension of Schertz's result. And, by making use of…
math.NT2014
Generation of class fields by using the Weber function
Ja Kyung Koo, Dong Hwa Shin, Dong Sung Yoon
Let be an imaginary quadratic field and be its ring of integers. Let be the Weber function on certain elliptic curve with complex multiplication by $\…
math.NT2014★ 1 cited
Generation of ring class fields by eta-quotients
Ja Kyung Koo, Dong Hwa Shin, Dong Sung Yoon
We generate ring class fields of imaginary quadratic fields in terms of the special values of certain eta-quotients, which are related to the relative norms of Siegel-Ramachandra i…