  We calculate the thermodynamic functions of a hot gluon plasma to leading
order in hard-thermal-loop (HTL) perturbation theory. Effects associated with
screening, gluon quasiparticles, and Landau damping are resummed to all orders.
The ultraviolet divergences generated by the HTL propagator corrections can be
cancelled by a counterterm that depends on the thermal gluon mass parameter.
The HTL thermodynamic functions are compared to those from lattice gauge theory
calculations and from quasiparticle models. For reasonable values of the HTL
parameters, the deviations from lattice results for T > 2 T_c have the correct
sign and roughly the correct magnitude to be accounted for by next-to-leading
order corrections in HTL perturbation theory.
