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In this talk I present the main spectral and temporal properties of Fermi/GBMgamma-ray bursts (GRBs) with known redshift. Key properties of these GRBs inthe rest-frame of the progenitor are investigated to better understand theintrinsic nature of these events. The sample comprises 47 GRBs with measuredredshift that were observed by GBM until May 2012. 39 sources belong to thelong-duration population and 8 events were classified as short bursts. For allof these events we derive, where possible, the intrinsic peak energy in the{\nu}F{\nu} spectrum (Ep,rest), the duration in the rest-frame, defined as thetime in which 90% of the burst counts were observed (T90,rest) and theisotropic equivalent bolometric energy (Eiso). We confirm the tight correlationbetween Ep,rest and Eiso (Amati relation) with a larger scatter than previouslyreported. We also confirm the relation between Ep,rest and the 1-s peakluminosity (Lp) (Yonetoku relation). Short GRB 080905A, whose host galaxy wasidentified at redshift z = 0.1218 is a peculiar outlier of this relation.Moreover, an intriguing, but preliminary, cosmic evolution of Ep,rest wasobserved, while no such evolution is evident for T90,rest.

Rest-frame properties of gamma-ray bursts observed by the Fermi Gamma-Ray Burst Monitor