We present a search for spatial and redshift correlations in a 2 Angstrom,
resolution spectroscopic survey of the Ly alpha forest at 2.15 < z < 3.37 t
oward 10 QSOs concentrated within a 1 degrees diameter field. We find a sig
nal at 2.7 sigma significance for correlations of the Ly alpha absorption-l
ine wavelengths between different lines of sight over the whole redshift ra
nge. The significance rises to 3.2 sigma if we restrict the redshift range
to 2.60 < z < 3.37, and to 4.0 sigma if we further restrict the sample to l
ines with rest equivalent widths 0.1 less than or equal to W-0 < 0.9 Angstr
om. We conclude that a significant fraction of the Ly alpha forest arises i
n structures whose correlation length extends at least over 30' (similar to
26 h(-1) comoving Mpc at z = 2.6 for H-0 = 100 h km s(-1) Mpc(-1), Omega =
1.0, Lambda = 0). We have also calculated the three-dimensional two-point
correlation function for Ly alpha absorbers; we do not detect any significa
nt signal in the data. However, we note that line blending prevents us from
detecting the signal produced by a 100% overdensity of Ly alpha absorbers
in simulated data. We find that the Ly alpha forest redshift distribution p
rovides a more sensitive test for such clustering than the three-dimensiona
l two-point correlation function.