Sanghoon Kwon

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math.NT2026

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

Soonki Hong, Sanghoon Kwon

We study the standard nonuniform arithmetic quotient of the affine Bruhat--Tits building attached to $PGL_{d} (F_{q} ((t^{- 1})))$ , with Haar measure normalized…

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…

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​

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 $PGL_{3}$