The zeta function of sI(2)(Z)

We apply a probabilistic formula due to Mann to show how to relate the zeta functions of L and pL where L is a Lie algebra L and p is a prime. This is used to deduce a formula for the zeta function of sl(2)(Z) (which turns ou t to be a meromorphic function on C) from Ilani's calculations of the zeta functions of the congruence subgroups of SL2 (Z(p)). Formulae for the zeta function counting ideals in p(n)sl(2)(Z(p)) are also calculated together wi th the obliquity of p(n)sl(2)(Z(p)). The Ax-Kochen principle from model the ory is used to deduce results for the zeta functions of F-p[[t]]l-Lie algeb ras, including a calculation of that of sl(2)(F-p[[t]]).