  In Gribov's scenario in Coulomb gauge, confinement of color charge is due to
a long-range instantaneous color-Coulomb potential V(R). This may be determined
numerically from the instantaneous part of the gluon propagator D_{44, inst} =
V(R) \delta(t). Confinement of gluons is reflected in the vanishing at k = 0 of
the equal-time three-dimensionally transverse would-be physical gluon
propagator D^{tr}(k). We present exact analytic results on D_{44} and D^{tr}
(which have also been investigated numerically, A. Cucchieri, T. Mendes, and D.
Zwanziger, this conference), in particular the vanishing of D^{tr}(k) at k = 0,
and the determination of the running coupling constant from x_0 g^2(k) = k^2
D_{44, inst}, where x_0 = 12N/(11N-2N_f).
