  We present a search for spatial and redshift correlations in a 2 A resolution
spectroscopic survey of the Lyman alpha forest at 2.15 < z < 3.37 toward ten
QSOs concentrated within a 1-degree diameter field. We find a signal at 2.7
sigma significance for correlations of the Lyman alpha absorption line
wavelengths between different lines of sight over the whole redshift range. 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 lines with rest
equivalent width 0.1 <= W0/(A) < 0.9. We conclude that a significant fraction
of the Lyman alpha forest arises in structures whose correlation length extends
at least over 30 arcmin (~26/h comoving Mpc at z=2.6 for H0 = 100h km/s/Mpc,
Omega=1.0, Lambda=0). We have also calculated the three dimensional two point
correlation function for Lyman alpha absorbers; we do not detect any
significant signal in the data. However, we note that line blending prevents us
from detecting the signal produced by a 100% overdensity of Lyman alpha
absorbers in simulated data. We find that the Lyman alpha forest redshift
distribution provides a more sensitive test for such clustering than the three
dimensional two point correlation function.
