Sanghoon Kwon

works on

arithmetic quotients 1 bruhat-tits buildings 1 height zeta functions 1 lattice minima 1 pgl_d 1 vertex volume 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.NT2026

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $PGL_{d}$

Soonki Hong, Sanghoon Kwon

The paper computes the vertex volume of the standard non‑uniform arithmetic quotient of the Bruhat–Tits building for PGLₙ over a function field and analyzes a homothety‑invariant l…

math.NT2026

Chamber zeta function and closed galleries in the standard non-uniform complex from $PGL_{3}$

Soonki Hong, Sanghoon Kwon

We introduce the \emph{chamber zeta function} for a complex of groups, defined via an Euler product over primitive tailless chamber galleries, extending the Ihara--Bass framework f…

math.GR2024

Edge zeta function and closed cycles in the standard non-uniform complex from $PGL_{3}$

Soonki Hong, Sanghoon Kwon

In this paper, we define the edge zeta function of weighted complex. We also present the formula for the edge zeta function of the standard non-uniform complex $\operatorname{PGL}(…

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of PGLd​

Chamber zeta function and closed galleries in the standard non-uniform complex from PGL3​

Edge zeta function and closed cycles in the standard non-uniform complex from PGL3​

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $PGL_{d}$

Chamber zeta function and closed galleries in the standard non-uniform complex from $PGL_{3}$

Edge zeta function and closed cycles in the standard non-uniform complex from $PGL_{3}$