Selberg's normal density theorem for automorphic l-functions for GLm

Let pi be an irreducible unitary cuspidal representation of GL(m)(A(Q)) with M >= 2, and L(s,pi) the L-function attached to pi. Under the Generalized Riemarm Hypothesis for L(s,pi), We estimate the normal density of primes in short intervals for the automorphic L-function L(s, pi). Our result generalizes the corresponding theorem of Selberg for the Riemann zeta-function.