  For $m,n$ coprime we introduce a new statistic skip on $(m,n)$-rational Dyck
paths and give a fast way to compute dinv and skip statistics. We also
introduce $(m,n)$-rank words, which are in one-to-one correspondence with
$(m,n)$-Dyck paths. Defining an equivalence relation on pairs of certain ranks
in a rank word, we prove that the number of equivalence classes is the skips of
the rank word, and the skips of the corresponding Dyck path. We construct a
homogeneous generating function $W_{m,n}(q,t,b)$ using statistics area, dinv
and skip, where $W_{m,n}(q,t,1)=C_{m,n}(q,t)$, the rational Catalan polynomial.
We then give an explicit formula for $(3,n)$-rational Catalan polynomials and
prove they are $q,t$-symmetric.
