most citedRepresentations by

1 citations · 1 across the 9 of their papers we have counts for

collaborators

9 papers

math.NT2011

Singular values of principal moduli

Ja Kyung Koo, Dong Hwa Shin

Let be a principal modulus with rational Fourier coefficients for a discrete subgroup of between or for a positive integer . Le…

math.NT2011★ 1 cited

Representations by

Ick Sun Eum, Dong Hwa Shin, Dong Sung Yoon

Let be the representation number of a nonnegative integer by the quaternary quadratic form . We first prove the identi…

math.NT2010

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 …

math.NT2010

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…

math.NT2010

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…

math.NT2010

Normal bases of ray class fields over imaginary quadratic fields

Ho Yung Jung, Ja Kyung Koo, Dong Hwa Shin

We develop a criterion for a normal basis, and prove that the singular values of certain Siegel functions form normal bases of ray class fields over imaginary quadratic fields othe…