H. Jung

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math.NT2026

On the integrality of modular functions over $Z [j]$ and Kronecker-type congruences

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin

Let $N$ be a positive integer and let $f$ be a meromorphic modular function of level $N$ with rational Fourier coefficients. For a prime $p$ , define a function $f_{p}$ on the complex…

math.NT2025

Inverse limits of CM points on certain Shimura varieties

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin

Let $N$ be a positive integer, and let $D \equiv 0$ or $1\Mod{4}$ be a negative integer. We define the sets $CM (D, Y_{1} (N)^{\pm})$ and $CM (D, Y (N)^{\pm})$ as subsets…

math.NT2024

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{…

On the integrality of modular functions over Z[j] and Kronecker-type congruences

Inverse limits of CM points on certain Shimura varieties

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

On the integrality of modular functions over $Z [j]$ and Kronecker-type congruences