Abstract submitted to the International Europhysics Conference on High Energy Physics July 12 - 18, 2001, Budapest, Hungary _________________________________________________________________________ The Q^2 and \bar{E}_T^2 dependence of dijet cross sections in gamma^*-p interactions at HERA ZEUS Collaboration Abstract The dependence of the virtual-photon (gamma^*) structure on the photon virtuality, Q^2, and the average transverse energy of the two highest transverse energy jets, \bar{E}_T, has been studied in the range 10^{-1} < Q^2 < 10^4 GeV^2 with the ZEUS detector at HERA using an integrated luminosity of 38 pb^{-1}. Events were required to have two jets, with transverse energies E_{T,1}^jet > 7.5 GeV and E_{T,2}^jet > 6.5 GeV, using the k_T algorithm in the gamma^*-p frame of reference. The cross section in x_gamma^{obs}, the fraction of the photon's energy participating in the production of the two highest transverse-energy jets, has been measured as a function of Q^2 and \bar{E}_T^2. The ratio of the dijet cross section with x_gamma^{obs} < 0.75 to that with x_gamma^{obs} > 0.75 decreases as Q^2 increases in the three regions of \bar{E}_T^2 studied. The data are compared to the predictions of pQCD using different parton distribution functions of the photon. The measurements can be interpreted in terms of a resolved photon component that falls with Q^2 up to the highest values of \bar{E}_T^2.