Zeta Functions of Complexes Arising from PGL(3)

Ming-Hsuan Kang, Wen-Ching Winnie Li

In this paper we obtain a closed form expression of the zeta function $Z(X_{\Gamma },u)$ of a finite quotient $X_{\Gamma }=\Gamma \backslash PG{L}_3(F)/PG{L}_3(O_F)$ of the Bruhat-Tits building of $PG{L}_3$…