AMICO galaxy clusters in KiDS-DR3: Cosmological constraints from counts and stacked weak lensing

Aims. We present a cosmological analysis of abundances and stacked weak lensing profiles of galaxy clusters, exploiting the AMICO KiDS-DR3 catalogue. The sample consists of 3652 galaxy clusters with intrinsic richness lambda* >= 20, over an effective area of 377 deg(2), in the redshift range z is an element of [0.1, 0.6].Methods. We quantified the purity and completeness of the sample through simulations. The statistical analysis has been performed by simultaneously modelling the co-moving number density of galaxy clusters and the scaling relation between the intrinsic richnesses and the cluster masses, assessed through stacked weak lensing profile modelling. The fluctuations of the matter background density, caused by super-survey modes, have been taken into account in the likelihood. Assuming a flat Lambda cold dark matter (Lambda CDM) model, we constrained omega(m), sigma(8), S-8 equivalent to sigma(8)(omega(m)/0.3)(0.5), and the parameters of the mass-richness scaling relation.Results. We obtained omega(m) = 0.24(-0.04)(+0.03), sigma(8) = 0.86(-0.07)(+0.07) S-8 = 0.78(-0.04)(+0.04). The constraint on S-8 is consistent within 1 sigma with the results from WMAP and Planck. Furthermore, we got constraints on the cluster mass scaling relation in agreement with those obtained from a previous weak lensing only analysis.