I. Eum

activity

20102019

most citedBinary quadratic forms and ray class groups

11 citations · 13 across the 5 of their papers we have counts for

collaborators

8 papers

math.NT2019★ 1 cited

On some extension of Gauss' work and applications

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin

Let $K$ be an imaginary quadratic field of discriminant $d_{K}$ , and let $n$ be a nontrivial integral ideal of $K$ in which $N$ is the smallest positive integer. Let $\mat…

math.NT2018

On some extension of Gauss' work and applications (II)

Ick Sun Eum, Ho Yun Jung, Ja Kyung Koo +1

Let $K$ be an imaginary quadratic field of discriminant $d_{K}$ , and let $n$ be a nontrivial integral ideal of $K$ in which $N$ is the smallest positive integer. Let $\mat…

math.NT2017★ 11 cited

Binary quadratic forms and ray class groups

Ick Sun Eum, Ja Kyung Koo, Dong Hwa Shin

Let $K$ be an imaginary quadratic field different from $Q (- 1)$ and $Q (- 3)$ . For a positive integer $N$ , let $K_{n}$ be the ray class field…

math.NT2015

Determination of the Fricke families

Ick Sun Eum, Dong Hwa Shin

For a positive integer $N$ divisible by $4$ , let $O_{N}^{1} (Q)$ be the ring of weakly holomorphic modular functions for the congruence subgroup $Γ^{1} (N)$ with rationa…

math.NT2014

Some applications of eta-quotients

Ick Sun Eum, Ja Kyung Koo, Dong Hwa Shin

We show that every modular form on $Γ_{0} (2^{n})$ ( $n \geq 2$ ) can be expressed as a sum of eta-quotients. Furthermore, we construct a primitive generator of the ring class field of the…

math.NT2012

Some applications of modular units

Ick Sun Eum, Ja Kyung Koo, Dong Hwa Shin

We show that a weakly holomorphic modular function can be written as a sum of modular units of higher level. We further find a necessary and sufficient condition for a Siegel modul…