On representation zeta functions of groups and a conjecture of Larsen-Lubotzky

Nir Avni, Benjamin Klopsch, Uri Onn, Christopher Voll

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We study zeta functions enumerating finite-dimensional irreducible complex linear representations of compact p-adic analytic and of arithmetic groups. Using methods from p-adic integration, we show that the zeta functions associated to certain p-adic analytic pro-p groups satisfy functional equations. We prove a conjecture of Larsen and Lubotzky regarding the abscissa of convergence of arithmetic groups of type A2 defined over number fields, assuming a conjecture of Serre on lattices in semisimple groups of rank greater than 1.

Original languageEnglish
Pages (from-to)363-367
Number of pages5
JournalComptes Rendus Mathematique
Issue number7-8
StatePublished - 1 Apr 2010

ASJC Scopus subject areas

  • Mathematics (all)


Dive into the research topics of 'On representation zeta functions of groups and a conjecture of Larsen-Lubotzky'. Together they form a unique fingerprint.

Cite this