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We search for anomalous normal and superconductive behavior in the two-bandHubbard model with one narrow band. We analyze the influence ofelectron-polaron effect and Altshuler-Aronov effect on effective massenhancement and scattering times of heavy and light components in the cleancase. We find anomalous behavior of resistivity at high temperatures$T>W_{h}^{*}$ both in 3D and 2D situation. The SC instability in the model isgoverned by enhanced Kohn-Luttinger effect for p-wave pairing of heavyelectrons via polarization of light electrons.

Anomalous resistivity and the electron-polaron effect in the two-band Hubbard model with one narrow band