Zeta Functions of Complexes Arising from Pgl(3) Ming-hsuan Kang and Wen-ching
نویسنده
چکیده
In this paper we obtain a closed form expression of the zeta function Z(X Γ , u) of a finite quotient X Γ = Γ\P GL 3 (F)/P GL 3 (O F) of the Bruhat-Tits building of P GL 3 over a nonar-chimedean local field F. Analogous to a graph zeta function, Z(X Γ , u) is a rational function and it satisfies the Riemann hypothesis if and only if X Γ is a Ramanujan complex.
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