  We have continued our study of the phase diagram of high temperature QCD with
three flavors of improved staggered quarks. We are performing simulations with
three degenerate quarks with masses less than or equal to the strange quark
mass m_s and with degenerate up and down quarks with masses m_{u,d} less than
the strange quark mass. For the quark masses studied to date, we find a
crossover that strengthens as m_{u,d} decreases, rather than a bona fide phase
transition. We present new results for the crossover temperature extrapolated
to the physical value of m_{u,d}, and for quark number susceptibilities.
