  The effect of long-ranged Coulomb interaction on the low energy properties
(momentum distribution function, density of states, electron spectral function,
and $4k_F$ correlation function) of one-dimensional electron systems is
determined theoretically. Over a wide, physically relevant energy range the
behavior is found to be well described by the conventional, short-ranged
interacting, Luttinger liquid results, \textit{with a scale-dependent effective
exponent}. An accurate empirical formula for the effective exponent is
presented.
