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Temperature dependences of thermoelectric power S(T) at $T>T_c$ of theHg-based high temperature superconductorsHg$_{1-x}$R$_x$Ba$_2$Ca$_2$Cu$_3$O$_{8+\delta}$ (R=Re, Pb) have been analyzedwith accounting for strong scattering of charge carriers. Transformation ofparameters of a narrow conducting band in the region of the Fermi level wasstudied. The existence of correlation between the effective bandwidth and thetemperature of a superconductive transition $T_c$ is shown.

Band spectrum transformation and temperature dependences of thermoelectric power of Hg$_{1-x}$R$_x$Ba$_2$Ca$_2$Cu$_3$O$_{8+\delta}$ system