Using a recent calculation of the perturbative hard part for dilepton
production that sums large threshold corrections to all orders in pert
urbative QCD, we compute the corresponding cross sections, The hard pa
rt has been evaluated using principal value resummation and contains a
ll singular momentum-dependent corrections, We also include a resummat
ion of large Sudakov terms, which are independent of parton momenta. W
e give predictions for the dilepton-mass distribution, the rapidity di
stribution and the rapidity-integrated K-factor at fixed-target energi
es and compare with various experimental results in several kinematic
regimes. We find that principal value resummation produces cross secti
ons that are finite and well-behaved. For both protons and anti-proton
s on fixed targets, the resummed cross sections are, in general, in ex
cellent agreement with the data.