Yuchan Lee

activity

20232026

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3 papers · 1 filter

math.NT2025

An upper bound for the size of the ideal class monoid

Sungmun Cho, Jungtaek Hong, Yuchan Lee

The ideal class monoid for an order $R$ in a finite field extension $E / F$ of a number field, denoted by $Cl (R)$ , is a fundamental object to study in number theo…

math.NT2025

Diophantine analysis and Arthur's trace formula

Yuchan Lee

Let $X$ be a $G$ -homogeneous space over a number field $k$ such that $X ≅ G_{γ} \ G$ . Here, $G$ is a simply connected semisimple group over $k$ and $γ \in G (k)$ whose centr…

math.NT2025

An asymptotic formula for the number of integral matrices with a fixed characteristic polynomial via orbital integrals

Seongsu Jeon, Yuchan Lee

For an irreducible polynomial $χ (x) \in O_{k} [x]$ of degree $n$ , where $k$ is a number field and $O_{k}$ its ring of integers, let $N (X, T)$ denote the number of $n…