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We present the X-ray luminosity function of AGN in three energy bands (Soft:0.5-2 keV, Hard: 2-10 keV and Ultrahard: 4.5-7.5 keV). We have used the XMSsurvey along with other highly complete flux-limited deeper and shallowersurveys for a total of 1009, 435 and 119 sources in the Soft, Hard andUltrahard bands, respectively. We have modeled the intrinsic absorption of theHard and Ultrahard sources (NH function) and computed the intrinsic X-rayluminosity function in all bands using a Maximum Likelihood fit technique to ananalytical model. We find that the X-ray luminosity function (XLF) is bestdescribed by a Luminosity-Dependent Density Evolution (LDDE) model. Our resultsshow a good overall agreement with previous results in the Hard band, althoughwith slightly weaker evolution. Our model in the Soft band present slightdiscrepancies with other works in this band, the shape of our present day XLFbeing significantly flatter. We find faster evolution in the AGN detected inthe Ultrahard band than those in the Hard band. The fraction of absorbed AGN inthe Hard and Ultrahard bands is dependent on the X-ray luminosity. We findevidence of evolution of this fraction with redshift in the Hard band but notin the Ultrahard band, possibly due to the low statistics. Our best-fit XLFshows that the high-luminosity AGN are fully formed earlier than the lessluminous AGN. The latter sources account for the vast majority of the accretionrate and mass density of the Universe, according to an anti-hierarchical blackhole growth scenario.

The XMM-Newton Serendipitous Survey. VI. The X-ray Luminosity Function