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We present new measurements of the evolution of the X-ray luminosityfunctions (XLFs) of unabsorbed and absorbed Active Galactic Nuclei (AGNs) outto z~5. We construct samples containing 2957 sources detected at hard (2-7 keV)X-ray energies and 4351 sources detected at soft (0.5-2 keV) energies from acompilation of Chandra surveys supplemented by wide-area surveys from ASCA} andROSAT. We consider the hard and soft X-ray samples separately and find that theXLF based on either (initially neglecting absorption effects) is best describedby a new flexible model parametrization where the break luminosity,normalization and faint-end slope all evolve with redshift. We then incorporateabsorption effects, separately modelling the evolution of the XLFs ofunabsorbed ($20<\log N_\mathrm{H}<22$) and absorbed ($22<\log N_\mathrm{H}<24$)AGNs, seeking a model that can reconcile both the hard- and soft-band samples.We find that the absorbed AGN XLF has a lower break luminosity, a highernormalization, and a steeper faint-end slope than the unabsorbed AGN XLF out toz~2. Hence, absorbed AGNs dominate at low luminosities, with the absorbedfraction falling rapidly as luminosity increases. Both XLFs undergo strongluminosity evolution which shifts the transition in the absorbed fraction tohigher luminosities at higher redshifts. The evolution in the shape of thetotal XLF is primarily driven by the changing mix of unabsorbed and absorbedpopulations.

The evolution of the X-ray luminosity functions of unabsorbed and absorbed AGNs out to z~5