Analytical expressions for the local-field factor G(q) and the   exchange-correlation kernel K_{xc}(r) of the homogeneous electron gas
  We present an analytical expression for the local field factor G(q) of the homogeneous electron gas which reproduces recently published Quantum Monte--Carlo data by S. Moroni, D.M. Ceperley, and G. Senatore [Phys. Rev. Lett. 75, 689 (1995)], reflects the theoretically known asymptotic behaviours for both small and large q limits, and allows to express the exchange-correlation kernel K_{xc} analytically in both the direct and reciprocal spaces. The last property is particularly useful in numerical applications to real solids 
Massimiliano Corradini, Rodolfo Del Sole, Giovanni Onida, Maurizia   Palummo (Univ. Roma ''Tor Vergata'', Rome, Italy)