Zeta functions of complexes arising from PGL(3)

Ming Hsuan Kang, Wen Ching Winnie Li

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)46-103
Number of pages58
JournalAdvances in Mathematics
Volume256
DOIs
StatePublished - May 1 2014

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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