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On the basis of the exact relations the general formula for the staticdielectric permittivity e(q,0) for Coulomb system is found in the region ofsmall wave vectors q. The obtained formuladescribes the dielectric functione(q,0) of the Coulomb system in both states in the "metallic" state and in the"dielectric" one. The parameter which determines possible states of the Coulombsystem - from the "true" dielectric till the "ideal" conductor is found. Theexact relation for the pair correlation function for two-component system ofelectrons and nuclei g_ei(r) is found for the arbitrary thermodynamicparameters.

True Dielectric and Ideal Conductor in Theory of the Dielectric Function for Coulomb System