@article{9822a1af3cc345f5b68e8445bbf95190,
title = "On representation zeta functions of groups and a conjecture of Larsen-Lubotzky",
abstract = "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.",
author = "Nir Avni and Benjamin Klopsch and Uri Onn and Christopher Voll",
note = "Funding Information: The authors, in various constellations, would like to thank Alex Lubotzky, Odile Sauzet and the following institutions for their support: the Batsheva de Rothschild Fund for the Advancement of Science, the EPSRC, the Mathematisches Forschungsinstitut Oberwolfach and the Nuffield Foundation. Funding Information: E-mail addresses: avni.nir@gmail.com (N. Avni), Benjamin.Klopsch@rhul.ac.uk (B. Klopsch), urionn@math.bgu.ac.il (U. Onn), C.Voll.98@cantab.net (C. Voll). 1 Supported by NSF grant DMS-0901638.",
year = "2010",
month = apr,
doi = "10.1016/j.crma.2010.02.019",
language = "English (US)",
volume = "348",
pages = "363--367",
journal = "Comptes Rendus Mathematique",
issn = "1631-073X",
publisher = "Elsevier Masson",
number = "7-8",
}