Evolution of Γ = M_BH/M_dyn as a function of redshift z. The black dotted and dash-dotted lines represent, respectively, the relation found by Decarli et al. (2010) at z ≲ 3, and the corresponding ratio at z = 0. The inset panel shows the same plot at 2 <  z <  3. In the case of SDSS J0129−0035 and ULAS J1319+0950 we inferred lower limits on dynamical masses (i.e. an upper limit on the ratio Γ). The circles indicate those sources which BH masses are estimated from bolometric luminosity assuming Eddington accretion.