Extragalactic 2-10 keV source counts from a fluctuation analysis of deep BeppoSAX MECS images

We present an analysis of the spatial fluctuations of the 2-10 keV Cosmic X-ray Background (CXB) as measured from 22 high galactic latitude (|b| > 25 deg) fields observed with the MECS instrument on-board BeppoSAX. This technique allowed us to probe extragalactic source counts a factor 3-4 fainter than is possible with direct measurements of pointlike sources in MECS deep fields. The slope of the 2-10 keV logN-logS relationship is found to be still close to the ``Euclidean'' one (gamma = 1.5) down to our flux limit of 1.5 10^-14 erg cm^-2 s^-1, where the contribution of discrete sources to the 2-10 keV CXB amounts to 40-50%. Source counts derived from the analysis presented in this letter are in very good agreement both with those directly measured with ASCA and BeppoSAX deep surveys at bright fluxes and with a first estimation of the 2-10 keV Chandra logN-logS at fainter fluxes.