Differential (left) and cumulative (right) luminosity distribution in the soft (top) and the hard (bottom) band for the four-year eRASS AGN sample in the extragalactic sky (black) and at the ecliptic poles only (red). The distributions are normalized to unity to facilitate comparison of the shapes. The dotted curves in the top panels were computed without the high-redshift cutoff in the soft-band XLF (see Sect. 4). The dashed black vertical lines in the right panels show the luminosity corresponding to the 10% fraction of sources.