  We present the results of a wide-field K-selected galaxy survey with
complementary optical I- and B-band imaging in six fields with a total coverage
of 9.8 square degrees. This survey establishes the bright-end K-band galaxy
number counts in the magnitude range 13<K<16 with high precision. We find that
our bright-end counts have a significantly steeper slope than the prediction of
a no-evolution model, which cannot be accounted for by known observational or
theoretical error. We also argue against the likelihood of sufficient evolution
at such low redshifts to account for this effect, we describe an alternative
picture in which there is a local deficiency of galaxies by a factor of 2 on
scale sizes of around 300 Mpc. Taken at face value, this would imply that local
measurements of \Omega_0 underestimate the true value of the cosmological mass
density by this factor and that local measurements of $H_0$ could be high by as
much as 33%.
