We give a direct proof of the new ''product'' expression for the Ramon
d sector characters of N = 2 minimal models recently suggested by Witt
en. Our construction allows us to generalize these expressions to the
D and E series of N = 2 minimal models, as well as to other N = 2 Kaza
ma-Suzuki coset models such as SU(N) x SO(2(N - 1))/SU(N - 1) x U(1).
We verify that these expressions indeed coincide with the correspondin
g Landau-Ginzburg ''elliptic genus'', a certain topologically invarian
t twisted path integral with the effective Landau-Ginzburg action, whi
ch we obtain by using Witten's method. We indicate how our approach ma
y be used to construct (or rule out) possible Landau-Ginzburg potentia
ls for describing other N = 2 superconformal theories.