Multiwavelenght surveys are a key tool in detecting AGNs that are recognizable from their color properties and/or their infrared/X-ray emission. We present our selection of QSOs candidates in the GOODS fields based on optical color criteria and on the matching of the optical ACS database with X-ray catalogues, and we discuss the results of the spectroscopic follow-up of targets. Combining our sample with SDSS observations at brighter magnitudes we estimate the QSOs luminosity function and its evolution in the redshift interval 3.5
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