  The ghost propagator and the Coulomb potential are evaluated in Coulomb gauge
on the lattice, using an improved gauge fixing scheme which includes the
residual symmetry. This setting has been shown to be essential in order to
explain the scaling violations in the instantaneous gluon propagator. We find
that both the ghost propagator and the Coulomb potential are insensitive to the
Gribov problem or the details of the residual gauge fixing, even if the Coulomb
potential is evaluated from the A0--propagator instead of the Coulomb kernel.
In particular, no signs of scaling violations could be found in either
quantity, at least to well below the numerical accuracy where these violations
were visible for the gluon propagator. The Coulomb potential from the
A0-propagator is shown to be in qualitative agreement with the (formally
equivalent) expression evaluated from the Coulomb kernel.
