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We study the  relation as a function of cosmic time in a sample of 96 quasars from   z = 3  to the present epoch. In this paper, we describe the sample, the data sources and the new spectroscopic observations. We then illustrate how we derive  from single‐epoch spectra, pointing out the uncertainties in the procedure. In a companion paper, we address the dependence of the ratio between the black hole mass and the host‐galaxy luminosity and mass on cosmic time.

The quasar relation through cosmic time – I. Data set and black hole masses