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The uncertainties involved in the calculation of bottom quark cross-sectionsin deep-inelastic scattering at HERA are studied in different phase spaceregions. Besides the inclusive bottom quark cross-section, definitions closerto the detector acceptance requiring at least one high energetic muon from thesemi-leptonic \bquark decay or a jet with high transverse energy areinvestigated. For each case the uncertainties due to the choice of therenormalisation and factorisation scale as well as the \bquark mass areestimated in the perturbative NLO QCD calculation and furthermore uncertaintiesin the fragmenation of the bottom quark to a B-meson and in its semi-leptonicdecay are discussed

Definition and calculation of bottom quark cross-sections in deep-inelastic scattering at HERA and determination of their uncertainties