  We compute the angular two-point correlation functions of the gamma-ray
bursts at cosmological distances. Since the gamma-ray burst emission mechanism
is not yet established, we simply assume that the gamma-ray burst sources are
associated with high-redshift galaxies in some way. Then on the basis of
several simple models for the evolution of galaxy spatial correlations, we
calculate the amplitude of angular two-point correlation functions on scales
appropriate for the Compton Gamma Ray Observatory data. we find that in most
cases the predicted correlations are difficult to detect with the current data
rate and the angular resolution, but models in which the bursts preferentially
occur at relatively low redshift ($z \simlt 0.5$) predict correlation
amplitudes on $\theta \sim 5^\circ$ which will be marginally detectable with
the Gamma Ray Observatory data in several years. If future observations detect
a signal of angular correlations, it will imply useful information on the
correlation of galaxies at high redshifts provided that the gamma-ray bursts
are cosmological.

Astrophysics