V- and R-band galaxy luminosity functions and low surface brightness galaxies in the Century Survey

We use 64 deg(2) of deep V and R CCD images to measure the local V- and R-band luminosity functions of galaxies. The V-o < 16.7 and R-o < 16.2 redshift samples contain 1255 and 1251 galaxies and are 98.1% and 98.2% complete, respectively. We apply k-corrections before the magnitude selection so that the completeness is to the same depth for all spectral types. The V and R faint-end slopes are surprisingly identical : alpha = -1.07 +/- 0.09. Representative Schechter function parameters for H-o = 100 are : M-R* = -20.88 +/- 0.09, phi (R)* = 0.016 +/- 0.003 Mpc(-3) and M-V* = -20.23 +/- 0.09, phi (V)* = 0.020 +/- 0.003 Mpc(-3). The V and R local luminosity densities, j(R) = (1.9 +/- 0.6) x 10(8) L-. and j(v) = (2.2 +/- 0.7) x 10(8) L-., are in essential agreement with the recent 2 Degree Field Galaxy Redshift Survey and Sloan Digital Sky Survey determinations. All low surface brightness (LSB) galaxies fall in the large-scale structure delineated by high surface brightness galaxies. The properties and surface number density of our LSB galaxies are consistent with the LSB galaxy catalog of O'Neil, Bothun & Cornell, suggesting that our samples are complete for LSB galaxies to the magnitude limits. We measure colors, surface brightnesses, and luminosities for our samples, and find strong correlations among these galaxy properties. The color-surface brightness relation is (V-R)(o) = (-0.11 +/- 0.05)mu (R), (o) + (2.6 +/- 0.9).