  We use spin-density functional theory to obtain novel expressions for the
charge and spin local-field factors of an electron gas in terms of its
electron-pair structure factors. These expressions (i) satisfy the
compressibility and spin susceptibility sum rules; (ii) keep account of kinetic
correlations by means of an integration over the coupling strength; and (iii)
provide a practical self-consistent scheme for evaluating linear response and
liquid structure. Numerical illustrations are given for the dielectric response
of the paramagnetic electron gas in both three and two dimensions.
