  We consider the epsilon-regime of QCD in 3 dimensions. It is shown that the
leading term of the effective partition function satisfies a set of Toda
lattice equations, recursive in the number of flavors. Taking the replica limit
of these Toda equations allows us to derive the microscopic spectral
correlation functions for the QCD Dirac operator in 3 dimensions. For an even
number of flavors we reproduce known results derived using other techniques. In
the case of an odd number of flavors the theory has a severe sign problem, and
we obtain previously unknown microscopic spectral correlation functions.
