  The usual see-saw formula is modified by the presence of two Higgs triplets
in left-right symmetric theories. The contribution from the left-handed Higgs
triplet to the see-saw formula can dominate over the conventional one when the
neutrino Dirac mass matrix is identified with the charged lepton or down quark
mass matrix. In this case an analytic calculation of the lepton asymmetry,
generated by the decay of the lightest right-handed Majorana neutrino, is
possible. For typical parameters, the out-of-equilibrium condition for the
decay is automatically fulfilled. The baryon asymmetry has the correct order of
magnitude, as long as the lightest mass eigenstate is not much lighter then
10^{-6} to 10^{-8} eV, depending on the solution of the solar neutrino problem.
A sizable signal in neutrinoless double beta decay can be expected, as long as
the smallest mass eigenstate is not much lighter than 10^{-3} eV and the Dirac
mass matrix is identified with the charged lepton mass matrix.
