Zeta functions of ${\mathrm{PGL}}_n$ over non-Archimedean local fields

Ming-Hsuan Kang, Jiu-Kang Yu

Let $\mathcal{B}$ be the Bruhat--Tits building of ${\mathrm{PGL}}_n(F)$, where $F$ is a non-Archimedean local field. We introduce geometric $k$-geodesics in $\mathcal{B}$ by means of…