11 citations · 17 across the 30 of their papers we have counts for
12 papers · 2 filters
Generation of class fields by Siegel-Ramachandra invariants
Dong Hwa Shin
We show that the Siegel-Ramachandra invariants could be primitive generators of the ray class fields of imaginary quadratic fields. By using Shimura's reciprocity law we give a mod…
Algebraic integers as special values of modular units
Ja Kyung Koo, Dong Hwa Shin, Dong Sung Yoon
Let where is the Dedekind eta-function. We show that if is an imaginary quadratic number with an…
On some arithmetic properties of Siegel functions (II)
Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin
Let be an imaginary quadratic field with discriminant . We deal with problems of constructing normal bases between abelian extensions of by making use of singula…
Ray class fields generated by torsion points of certain elliptic curves
Ja Kyung Koo, Dong Hwa Shin, Dong Sung Yoon
We first normalize the derivative Weierstrass -function appearing in Weierstrass equations which give rise to analytic parametrizations of elliptic curves by the Dedekind …
Modified Jacobi forms of index zero
Ja Kyung Koo, Dong Hwa Shin
By modifying a slash operator of index zero we define \textit{modified Jacobi forms} of \textit{index zero}. Such forms play a role of generating nearly holomorphic modular forms o…
Ray class invariants over imaginary quadratic fields
Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin
Let be an imaginary quadratic field of discriminant less than or equal to -7 and be its ray class field modulo for an integer greater than 1. We prove that si…