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We propose a simple analytic representation of the correlation energy ɛ c for a uniform electron gas, as a function of density parameter r s and relative spin polarization ζ. Within the random-phase approximation (RPA), this representation allows for the r s− 3/4 behavior as r s→∞. Close agreement with numerical RPA values for ɛ c (r s, 0), ɛ c (r s, 1), and the spin stiffness α c (r s)=∂ 2 ɛ c (r s, ζ= 0)/δ ζ 2, and recovery of the correct r s ln r s term for r s→ 0, indicate the appropriateness of the chosen analytic form. Beyond RPA, different parameters for the same analytic form are found by fitting to the Green’s-function Monte Carlo data of Ceperley and Alder [Phys. Rev. Lett. 45, 566 (1980)], taking into account data uncertainties that have been ignored in earlier fits by Vosko, Wilk, and Nusair (VWN)[Can. J. Phys. 58, 1200 (1980)] or by Perdew and Zunger (PZ)[Phys. Rev. B 23, 5048 (1981)]. While we confirm the practical …