Total Cross Sections for Heavy Flavour Production at HERA

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We compute total cross sections for charm and bottom photoproduction at HERA energies, and discuss the relevant theoretical uncertainties. In particular we discuss the problems arising from the small-$x$ region, the uncertainties in the gluon parton density, and the uncertainties in the hadronic component of the cross section. Total electroproduction cross sections, calculated in the Weizsäcker-Williams approximation, are also given.
20 pages, Latex and style files tarred, gzipped and uuencoded; 10 postscript figures appended at the end (look for %%%%figures) as tarred, gzipped and uuencoded file

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