標題: Zeta functions of complexes arising from PGL(3)
作者: Kang, Ming-Hsuan
Li, Wen-Ching Winnie
應用數學系
Department of Applied Mathematics
關鍵字: Bruhat-Tits building;Zeta functions;Discrete cocompact subgroups
公開日期: 1-May-2014
摘要: In this paper we obtain a closed form expression of the zeta function Z(Xr,u) of a finite quotient Xr of the Bruhat-Tits building of PGL(3) over a nonarchimedean local field F by a discrete cocompact torsion-free subgroup Gamma of PGL3. Analogous to a graph zeta function, Z(Xr, u) is a rational function with two different expressions and it satisfies the Riemann hypothesis if and only if Xr is a Ramanujan complex. (C) 2014 Elsevier Inc. All rights reserved.
URI: http://dx.doi.org/10.1016/j.aim.2013.12.033
http://hdl.handle.net/11536/24201
ISSN: 0001-8708
DOI: 10.1016/j.aim.2013.12.033
期刊: ADVANCES IN MATHEMATICS
Volume: 256
Issue: 
起始頁: 46
結束頁: 103
Appears in Collections:Articles