  We present a deep LBT/LBC U-band imaging survey (9 deg2) covering the NOAO
Bootes field. A total of 14,485 Lyman Break Galaxies (LBGs) at z~3 are
selected, which are used to measure the rest-frame UV luminosity function (LF).
The large sample size and survey area reduce the LF uncertainties due to
Poisson statistics and cosmic variance by >3 compared to previous studies. At
the bright end, the LF shows excess power compared to the best-fit Schechter
function, which can be attributed to the contribution of $z\sim3$ quasars. We
compute the rest-frame near-infrared LF and stellar mass function (SMF) of z~3
LBGs based on the R-band and IRAC [4.5 micro m]-band flux relation. We
investigate the evolution of the UV LFs and SMFs between z~7 and z~3, which
supports a rising star formation history in the LBGs. We study the spatial
correlation function of two bright LBG samples and estimate their average host
halo mass. We find a tight relation between the host halo mass and the galaxy
star formation rate (SFR),which follows the trend predicted by the baryonic
accretion rate onto the halo, suggesting that the star formation in LBGs is
fueled by baryonic accretion through the cosmic web. By comparing the SFRs with
the total baryonic accretion rates, we find that cosmic star formation
efficiency is about 5%-20% and it does not evolve significantly with redshift,
halo mass, or galaxy luminosity.
