Dong Hwa Shin

most citedRepresentations by

x_{1}^{2} + 2 x_{2}^{2} + x_{3}^{2} + x_{4}^{2} + x_{1} x_{3} + x_{1} x_{4} + x_{2} x_{4}

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

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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 $η$ …

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 $K$ be an imaginary quadratic field of discriminant less than or equal to -7 and $K_{(N)}$ be its ray class field modulo $N$ for an integer $N$ 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…

math.NT2010

Ring class invariants over imaginary quadratic fields

Ick Sun Eum, Ja Kyung Koo, Dong Hwa Shin

We show by adopting Schertz's argument with the Siegel-Ramachandra invariant that singular values of certain quotients of the $Δ$ -function generate ring class fields over imaginary…

math.NT2010

Modified Jacobi forms of index zero (II)

Ja Kyung Koo, Dong Hwa Shin

For a negative integer $k$ let $J_{k}$ be the space of modified Jacobi forms of weight $k$ and index 0 on $SL_{2} (Z)$ . For each positive integer $m$ we consider certa…