(abridged) We report the UV luminosity function (LF) of Lyman break galaxies at z~5 derived from a deep and wide survey using the Subaru/Suprime-Cam. Target fields consist of two blank regions of the sky (the HDF-N and J0053+1234), and the total effective surveyed area is 1290 sqarcmin. Applications of carefully determined colour selection criteria in V-I and I-z yield a detection of 853 candidates with zAB<26.5 mag. The derived UVLF at z~5 shows no significant change in the number density of bright (L>=L*_z=3) LBGs from that at z~3, while there is a significant decline in the LFs faint end with increasing lookback time. This result means that the evolution of the number densities is differential with UV luminosity: the number density of UV luminous objects remains almost constant from z~5 to 3 while the number density of fainter objects gradually increases with cosmic time. This trend becomes apparent thanks to the small uncertainties in number densities both in the bright and faint parts of LFs at different epochs that are made possible by the deep and wide surveys. We discuss the origins of this differential evolution and suggest that our observational findings are consistent with the biased galaxy evolution scenario: a galaxy population hosted by massive dark haloes starts active star formation preferentially at early cosmic time, while less massive galaxies increase their number density later. We also calculated the UV luminosity density by integrating the UVLF and at z~5 found it to be 38.8% of that at z~3 for the luminosity range L>0.1 L^*_z=3. By combining our results with those from the literature, we find that the cosmic UV luminosity density marks its peak at z=2-3 and then slowly declines toward higher redshift.
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