11 citations · 17 across the 30 of their papers we have counts for
4 papers · 1 filter
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 $\…
On some Fricke families and application to the Lang-Schertz conjecture
Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin
We first investigate two kinds of Fricke families consisting of Fricke functions and Siegel functions, respectively. And, in terms of their special values we generate ray class fie…
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…
Some applications of eta-quotients
Ick Sun Eum, Ja Kyung Koo, Dong Hwa Shin
We show that every modular form on () can be expressed as a sum of eta-quotients. Furthermore, we construct a primitive generator of the ring class field of the…