Zeta functions of complexes arising from PGL(3)

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DC 欄位	值	語言
dc.contributor.author	Kang, Ming-Hsuan	en_US
dc.contributor.author	Li, Wen-Ching Winnie	en_US
dc.date.accessioned	2014-12-08T15:35:49Z	-
dc.date.available	2014-12-08T15:35:49Z	-
dc.date.issued	2014-05-01	en_US
dc.identifier.issn	0001-8708	en_US
dc.identifier.uri	http://dx.doi.org/10.1016/j.aim.2013.12.033	en_US
dc.identifier.uri	http://hdl.handle.net/11536/24201	-
dc.description.abstract	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.	en_US
dc.language.iso	en_US	en_US
dc.subject	Bruhat-Tits building	en_US
dc.subject	Zeta functions	en_US
dc.subject	Discrete cocompact subgroups	en_US
dc.title	Zeta functions of complexes arising from PGL(3)	en_US
dc.type	Article	en_US
dc.identifier.doi	10.1016/j.aim.2013.12.033	en_US
dc.identifier.journal	ADVANCES IN MATHEMATICS	en_US
dc.citation.volume	256	en_US
dc.citation.issue		en_US
dc.citation.spage	46	en_US
dc.citation.epage	103	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.identifier.wosnumber	WOS:000334897000003	-
dc.citation.woscount	1	-
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