Abstract
The majority of known very high-redshift (z>=3.4) quasi-stellar objects (QSOs) have relatively bright apparent magnitudes1,2, R = 21, R ˜ 19) at z = 3.56, selected by 'traditional' low dispersion spectroscopic methods. The surface density of very faint, high-redshift QSOs may not be negligible, with a variety of lines of evidence suggesting that there are at least ˜ 0.2 deg−2 objects with z>= 3.4.
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