Abstract
Simulation data on hydrogen-like plasmas, modelled with the Kelbg pseudopotential, are treated within the
classical theory of moments. The possibility is analyzed for the model inverse dielectric function to satisfy
five convergent sum rules and other exact relations. The sum rules are the power frequency moments of the
loss function and the latter are calculated using the hypernetted chain approximation with the Kelbg interaction
potential. An approach to the reconstruction of the Nevanlinna parameter function is proposed and successfully
tested against the simulation data. Conclusions on the applicability of the Kelbg potential are drawn and a
model is put forward to define the Coulomb dielectric function with the space dispersion taken into account.
