The problem of strongly correlated disordered two-dimensional electron gas on a lattice is studied by computer modeling. The long-range Coulomb interaction is assumed. It is proved that for zero hopping amplitude J the lowest residue of the one-particle Green function is zero. It is shown by quantum Monte-Carlo computations that the Coulomb gap in the one-particle density of states exists and the lowest residues remain small for J > 0 and independent of J at the same range of J where, according to other criteria, many-particle wave functions become delocalized.

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