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The screened QED corrections of the first orders in \alpha and 1/Z to the gfactor and the hyperfine splitting of lithiumlike ions are evaluated within abinitio quantum electrodynamical approach. The complete gauge-invariant set ofthe two-electron self-energy diagrams in the presence of the magnetic field anda dominant part of the two-electron vacuum-polarization diagrams arecalculated. The most accurate values of the g factor of Li-like lead anduranium are presented. The theoretical prediction for the specific differenceof the hyperfine splittings of H- and Li-like bismuth is improved.

Evaluation of the screened QED corrections to the g factor and the hyperfine splitting of lithiumlike ions