  We present calculations of the spin-averaged pair distribution function
$g(r)$ in a homogeneous gas of electrons moving in dimensionality D=3 or D=2 at
finite temperature. The model involves the solution of a two-electron
scattering problem via an effective potential which embodies many-body effects
through a self-consistent Hartree approximation, leading to two-body wave
functions to be averaged over a temperature-dependent distribution of relative
momentum for electron pairs. We report illustrative numerical results for
$g(r)$ in an intermediate-coupling regime and interpret them in terms of
changes of short-range order with increasing temperature.
