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We show that the expression of the high-density (i.e small-$r_s$) correlationenergy per electron for the one-dimensional uniform electron gas can beobtained by conventional perturbation theory and is of the form $\Ec(r_s) =-\pi^2/360 + 0.00845 r_s + ...$, where $r_s$ is the average radius of anelectron. Combining these new results with the low-density correlation energyexpansion, we propose a local-density approximation correlation functional,which deviates by a maximum of 0.1 millihartree compared to the benchmark DMCcalculations.

High-density correlation energy expansion of the one-dimensional uniform electron gas