An average Chebotarev Density Theorem for generic rank 2 Drinfeld modules with complex multiplication

Let q be an odd prime power and let A = F-q[T], k = F-q(T). Let psi be a Drinfeld A-module over k, of rank 2 and with a non-trivial endomorphism ring. We prove an average effective Chebotarev Density Theorem for the primes splitting completely in the division fields k(psi[d]) of psi, with a very small error term. We also apply our techniques to study the primes of good reduction for psi for which the reduced A-module is cyclic. Published by Elsevier Inc.