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A simple approach to the many-polaron problem for both weak and intermediateelectron-phonon coupling and valid for densities much smaller than thosetypical of metals is presented. Within the model the total energy, thecollective modes and the single-particle properties are studied and comparedwith the available theories. It is shown the occurrence of a charge densitywave instability in the intermediate coupling regime.Comment: 26 pages, 12 figures. To appear on European Physical Journal

Normal state properties of an interacting large polaron gas