Tests for spatial isotropy of three thousand gamma-ray bursts found in BATSE archival data

We apply isotropy tests to our new uniform catalog of cosmic gamma-ray bursts (GRBs) (Stern and Tikhomirova 1999). The catalog contains trigger and nontrigger bursts found in 1024-ms BATSE records over seven years. Based on this catalog, we confirm isotropy of the GRB spatial distribution for a sample that surpasses previous samples in size (2934 bursts) and in achieved threshold (fluxes down to 0.1 phot. cm^sup -2^ s^sup -1^, which is a factor of 2 lower than the BATSE trigger threshold). We also confirm that there is no excess of bursts toward the galaxy M 31.[PUBLICATION ABSTRACT]