  We examine the algebra of all Dirichlet Series bounded on the right half
plane. We consider the analogue of the Corona theorem in this setting, and show
that it is false, i.e. the right half-plane is not dense in the maximal ideal
space. We also prove some refinements of the Hille-Bohnenblust theorem, where
both probabilistic and deterministic devices are used, and we show how the
proof is carried out for each.
