We present a study of the evolution of active galactic nuclei (AGN) selected in Einstein and ROSAT surveys. A total of 748 broad-line AGN are included in the study, including 29 with z > 2. Pure luminosity evolution provides a good description of the evolution for q0 = 0. For q0 = 0.5 we find that pure luminosity evolution underpredicts the number of intermediate-redshift (1.4 < z < 2), low-luminosity AGN. Evolution models with strong evolution at high redshift (z > 1.8) are rejected at high confidence levels. Models with no evolution or negative evolution at z > 1.8 are acceptable. Ve/Va〉 tests, which are model-independent, suggest that at z > 1.8 evolution is negative, i.e., QSO space densities and/or luminosities decline with redshift. Our model luminosity functions predict that broad-line AGN with z < 4 contribute less than 45 per cent of the 1–2 keV X-ray background. We derive a simple expression to correct a two-power-law luminosity function for the spurious evolution caused by the dispersion of X-ray spectral slopes. When the dispersion in AGN spectral slopes is taken into account, we find that the redshift at which evolution stops may be as low as z ∼ 1.4 for both q0 = 0 and q0 = 0.5.
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Page et al. (1997) studied this question.