Zero-density estimate of L-functions for cusp forms

Let f(z) be a Maass cusp form for the full modular group SL2(Z), and let L(s,f) be the corresponding automorphic L-function associated to f. In this paper, we give a new result concerning zero-density estimate of L(s,f) in the range 3/4<σ<1. The proof follows the classical line of Halász-Montgomery-Jutila-Ivić.