Zero density estimates for automorphic L-functions of $${GL_{m}}$$.

We study the zero-density estimates for automorphic L-functions $${L(s, \pi)}$$ for GL when $${\sigma}$$ is near 1. In particular, we get a range of $${\sigma}$$ for which the density hypothesis holds. The proofs use a zero detecting argument, the Halász-Montgomery inequality and a bound for an integral power moment of $${L(1/2+it, \pi)}$$ . [ABSTRACT FROM AUTHOR]