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We study zeta functions enumerating finite-dimensional irreducible complexlinear representations of compact p-adic analytic and of arithmetic groups.Using methods from p-adic integration, we show that the zeta functionsassociated to certain p-adic analytic pro-p groups satisfy functionalequations. We prove a conjecture of Larsen and Lubotzky regarding the abscissaof convergence of arithmetic groups of type A_2 defined over number fields,assuming a conjecture of Serre on lattices in semisimple groups of rank greaterthan 1.

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