Riemann Hypothesis and strongly Ramanujan complexes from GL(n)

dc.citation.epage	297	en_US
dc.citation.spage	281	en_US
dc.citation.volume	161	en_US
dc.citation.woscount	0	en_US
dc.contributor.author	Kang, Ming-Hsuan	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.date.accessioned	2016-03-28T00:04:23Z
dc.date.available	2016-03-28T00:04:23Z
dc.date.issued	2016-04-01	en_US
dc.description.abstract	We investigate the Riemann Hypothesis on combinatorial zeta functions associated to finite quotients of the affine building of GL(n). We prove that if the quotient complex is strongly Ramanujan then these zeta functions satisfy the Riemann Hypothesis. On the other hand, we show that the converse statement is also true provided the extra generic condition. In the end, we give an example to show that this generic condition is indeed necessary. (C) 2015 Elsevier Inc. All rights reserved.	en_US
dc.identifier.doi	10.1016/j.jnt.2015.09.002	en_US
dc.identifier.issn	0022-314X	en_US
dc.identifier.journal	JOURNAL OF NUMBER THEORY	en_US
dc.identifier.uri	http://dx.doi.org/10.1016/j.jnt.2015.09.002	en_US
dc.identifier.uri	https://ir.lib.nycu.edu.tw/handle/11536/129622
dc.identifier.wosnumber	WOS:000368318800014	en_US
dc.language.iso	en_US	en_US
dc.subject	Riemann Hypothesis	en_US
dc.subject	Rarnanujan complexes	en_US
dc.subject	Building	en_US
dc.subject	GL(n)	en_US
dc.subject	Zeta functions	en_US
dc.title	Riemann Hypothesis and strongly Ramanujan complexes from GL(n)	en_US
dc.type	Article	en_US

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