Two Theorems on the Zero Density of the Riemann Zeta Function

§1.IntroductionLet N(σ,T) be the number of zeros of the Riemann zeta funetion ζ(s) in theregion σ≤Re(s)≤1,|Im(s)|≤T.For σ>(3/4),by using the Halász-Montgomerymethod,one can get somo results which are better than the classical result givenby Ingham.For example,Jutila proved that the zero density hypothesisN(σ,T)T2-3σ+