  We study the cross section for dijet production via direct photons, as seen
at the HERA collider. Rather than assuming the standard factorisation formula
for the cross section (where the incoming partons are assumed to be on-shell),
we use the $k_T$-factorisation formula. This formalism ought to be more
appropriate for jet production in regions where the cross section is sensitive
to the small-$x$ parton distribution functions. We study the rapidity
distribution and the azimuthal angular distribution of the jets and compare
with the traditional approach. Our calculations reveal a breakdown of the
traditional approach as one moves into the regime of small $x$.
