The production of \documentclass[12pt]{minimal}
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$D^{\ast \pm}$\end{document}(2010) mesons in deep inelastic scattering has been measured in the ZEUS detector at HERA using an integrated luminosity of 37 pb\documentclass[12pt]{minimal}
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$^{-1}$\end{document}. The decay channels \documentclass[12pt]{minimal}
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$D^{\ast +}\rightarrow D^0 \pi^+ $\end{document} (+ c.c.), with \documentclass[12pt]{minimal}
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$D^0 \rightarrow K^- \pi^+$\end{document} or \documentclass[12pt]{minimal}
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$D^0 \rightarrow K^- \pi^- \pi^+ \pi^+$\end{document}, have been used to identify the D mesons. The \documentclass[12pt]{minimal}
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$e^+p$\end{document} cross section for inclusive \documentclass[12pt]{minimal}
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$D^{\ast \pm}$\end{document} production with \documentclass[12pt]{minimal}
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$1 < Q^2 < 600\,$\end{document}GeV\documentclass[12pt]{minimal}
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$^2$\end{document} and \documentclass[12pt]{minimal}
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$0.02< y < 0.7$\end{document} is \documentclass[12pt]{minimal}
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$8.31 \pm 0.31 \mbox{(stat.)}^{+0.30}_{-0.50}\mbox{(syst.)}$\end{document} nb in the kinematic region \documentclass[12pt]{minimal}
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$1.5 < p_T(D^{\ast \pm}) < 15$\end{document} GeV and \documentclass[12pt]{minimal}
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$|\eta(D^{\ast \pm})| < 1.5$\end{document}. Differential cross sections are consistent with a next-to-leading-order perturbative-QCD calculation when using charm-fragmentation models which take into account the interaction of the charm quark with the proton remnant. The observed cross section is extrapolated to the full kinematic region in \documentclass[12pt]{minimal}
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$p_T(D^{\ast \pm})$\end{document} and \documentclass[12pt]{minimal}
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$\eta(D^{\ast \pm})$\end{document} in order to determine the charm contribution, \documentclass[12pt]{minimal}
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$F_{2}^{c\bar c}(x,Q^2)$\end{document}, to the proton structure function. The ratio \documentclass[12pt]{minimal}
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$F_{2}^{c\bar c}/F_{2}$\end{document} rises from \documentclass[12pt]{minimal}
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$\simeq$\end{document}10% at \documentclass[12pt]{minimal}
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$Q^2 \simeq$\end{document} 1.8 GeV\documentclass[12pt]{minimal}
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$^2$\end{document} to \documentclass[12pt]{minimal}
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$\simeq$\end{document}30% at \documentclass[12pt]{minimal}
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$Q^2 \simeq $\end{document}130 GeV\documentclass[12pt]{minimal}
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$^2$\end{document} for x values in the range \documentclass[12pt]{minimal}
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$10^{-4}$\end{document} to \documentclass[12pt]{minimal}
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$10^{-3}$\end{document}.