Yuchan Lee

collaborators

3 papers

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…

math.NT2024

Stable orbital integrals for classical Lie algebras and smooth integral models

Sungmun Cho, Taeyeoup Kang, Yuchan Lee

A main goal of this paper is to introduce a new description of the stable orbital integral for a regular semisimple element and for the unit element of the Hecke algebra in the cas…