  We explore how the superconductivity arising from the on-site
electron-electron repulsion will change when the repulsion is changed to a
long-ranged, 1/r-like one by introducing an extended Hubbard model with the
repulsion extending to distant (12th) neighbors. With a simplified
fluctuation-exchange approximation, we have found for the square lattice that
(i) as the band filling becomes dilute enough, the charge susceptibility
becomes comparable with the spin susceptibility, where p and then s pairings
become dominant, in agreement with the result for the electron gas by Takada,
while (ii) the d-wave, which reflects the lattice structure, dominates well
away from the half filling. All these can be understood in terms of the spin
and charge structures along with the shape and size of the Fermi surface.
