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Gill, Pierre-Fran\\c{c}ois Loos","submitted_at":"2011-04-04T08:49:36Z","abstract_excerpt":"The correlation energy per electron in the high-density uniform electron gas can be written as $\\Ec(r_s,\\zeta) = \\lam_0(\\zeta) \\ln r_s + \\eps_0(\\zeta) + \\lam_1(\\zeta) \\,r_s \\ln r_s + O(r_s)$, where $r_s$ is the Seitz radius and $\\zeta$ is the relative spin polarization. We derive an expression for $\\lam_1(\\zeta)$ which is exact for any $\\zeta$, including the paramagnetic and ferromagnetic limits, $\\lam_1(0)$ and $\\lam_1(1)$, and discover that the previously published $\\lam_1(1)$ value is incorrect. We trace this error to an integration and limit that do not commute. 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