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dc.contributor.authorKang, Ming-Hsuanen_US
dc.contributor.authorLi, Wen-Ching Winnieen_US
dc.date.accessioned2014-12-08T15:35:49Z-
dc.date.available2014-12-08T15:35:49Z-
dc.date.issued2014-05-01en_US
dc.identifier.issn0001-8708en_US
dc.identifier.urihttp://dx.doi.org/10.1016/j.aim.2013.12.033en_US
dc.identifier.urihttp://hdl.handle.net/11536/24201-
dc.description.abstractIn 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.en_US
dc.language.isoen_USen_US
dc.subjectBruhat-Tits buildingen_US
dc.subjectZeta functionsen_US
dc.subjectDiscrete cocompact subgroupsen_US
dc.titleZeta functions of complexes arising from PGL(3)en_US
dc.typeArticleen_US
dc.identifier.doi10.1016/j.aim.2013.12.033en_US
dc.identifier.journalADVANCES IN MATHEMATICSen_US
dc.citation.volume256en_US
dc.citation.issueen_US
dc.citation.spage46en_US
dc.citation.epage103en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:000334897000003-
dc.citation.woscount1-
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