The most prominent measurement of heavy quark production is the measurement of the structure functions and . The HERA-I results were presented in section 6.1.2 and 6.2.2. Towards large values of and low values of the charm results are largely limited by statistical uncertainties while the beauty results are statistically limited everywhere. With the expected increase of integrated luminosity to a value of 500 pb obtained in HERA-II the experimental errors are expected to shrink significantly, such that the data can provide useful constraints for global fits. In fig.58 the expectation for the measurement of using an integrated luminosity of 200 pb is shown. The central values of the expectation are based on an H1 measurement of the gluon density from evolution studies of the inclusive proton structure function in next-to-leading order QCD, such as reported in [66]. The overall average precision is 10% and is systematically limited at low and statistically limited at high . Different methods for charm and beauty tagging have been established in HERA-I which are explained in section 5, i.e. the use of reconstructed mesons[2,3,4,5,57,7,8,58,9,11,12,13,14,15,16,55,17,56,18,21,19,23,24,25,26], the use of semi-leptonic decays [36,37,38,39,40,41,42] and the use of lifetime tags made possible by the use of silicon vertex detectors [6,44,43,45,46], providing superior spatial resolution close to the interaction region. For HERA-II a combination of these methods will help to further reduce the systematic and theoretical uncertainties to the level of few percent.