Soft-gluon resummation within the framework of heavy quarkonium hadroproduc
tion is considered. A few selected cases an studied in detail. A sizeable i
ncrease of the cross sections with respect to the next-to-leading order pre
dictions with central factorization/renormalization scale choice can genera
lly be observed. Improvements in the dependence of the cross sections on th
e two scales, especially when they are kept equal, are also found. (C) 2000
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