Deep Inelastic Polarized Electron-Proton Scattering in QCD.

We compute the anomalous dimension (gamma)(n) and (gamma)(,ns)(n) needed in the evaluation of the polarized structure function G(,1)(q('2)) in electron-proton scattering, up to and including the order g('4) contributions in the minimal subtraction scheme in perturbative QCD. Both the analytic expression and the numerical result for (gamma)(n) and (gamma)(,ns)(n) with n = 2, 4, 6,..., 20 are obtained. We also evaluate the second moment of flavor singlet and the flavor non-singlet part of G(,1)(q('2)) in QCD, with 4 and 6 flavors with the Wilson coefficients left as unknowns.