Zeta functions of complexes arising from PGL(3)

Ming-Hsuan Kang*, Wen Ching Winnie Li

*Corresponding author for this work

研究成果: Article同行評審

10 引文 斯高帕斯(Scopus)

摘要

In this paper we obtain a closed form expression of the zeta function Z( , u) of a finite quotient of the Bruhat-Tits building of PGL3 over a nonarchimedean local field F by a discrete cocompact torsion-free subgroup Γ of PGL3 . Analogous to a graph zeta function, Z( , u) is a rational function with two different expressions and it satisfies the Riemann hypothesis if and only if is a Ramanujan complex.

原文English
頁(從 - 到)46-103
頁數58
期刊Advances in Mathematics
256
DOIs
出版狀態Published - 1 五月 2014

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