D. Yoon

activity

20102026

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 · 3 across the 15 of their papers we have counts for

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math.NT2026

Adelic framed form class groups and explicit class field theory

Ja Kyung Koo, Dong Hwa Shin, Dong Sung Yoon

Let $D$ be a negative discriminant, and let $K = Q (D)$ . Let $Q (D)$ denote the set of primitive positive definite binary quadratic forms over $Z$ of…

math.NT2025

A simplified algorithmic realization of Galois actions on special values of modular functions

Ja Kyung Koo, Dong Hwa Shin, Dong Sung Yoon

We propose an explicit and practical algorithm for computing Galois conjugates and irreducible polynomials for special values of modular functions evaluated at CM points associated…

math.NT2023

Gauss's form class groups and Shimura's canonical models

Ja Kyung Koo, Dong Hwa Shin, Dong Sung Yoon

Let $N$ be a positive integer and $Γ$ be a subgroup of $SL_{2} (Z)$ containing $Γ_{1} (N)$ . Let $K$ be an imaginary quadratic field and $O$ be an order of dis…

math.NT2023

Class fields and form class groups for solving certain quadratic Diophantine equations

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin +1

Let $K$ be an imaginary quadratic field and $O$ be an order in $K$ . We construct class fields associated with form class groups which are isomorphic to certain $\mathcal{…

math.NT2022

Arithmetic properties of orders in imaginary quadratic fields

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin +1

Let $K$ be an imaginary quadratic field. For an order $O$ in $K$ and a positive integer $N$ , let $K_{O, N}$ be the ray class field of $O$ modulo $N\m…

math.NT2020

On some $p$ -adic Galois representations and form class groups

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin +1

Let $K$ be an imaginary quadratic field of discriminant $d_{K}$ with ring of integers $O_{K}$ . When $K$ is different from $Q (- 1)$ and $Q (- 3)$ ,…

Adelic framed form class groups and explicit class field theory

A simplified algorithmic realization of Galois actions on special values of modular functions

Gauss's form class groups and Shimura's canonical models

Class fields and form class groups for solving certain quadratic Diophantine equations

Arithmetic properties of orders in imaginary quadratic fields

On some p-adic Galois representations and form class groups

On some $p$ -adic Galois representations and form class groups