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Given two relatively prime positive integers $\alpha$ and $\beta$, weconsider simple lattice paths (with unit East and unit North steps) from$(0,0)$ to $(\alpha k,\beta k)$, and enumerate them by their left and rightbounces with respect to the line $y=\frac{\beta}{\alpha} x$. We give thecorresponding multivariate generating functions for all such paths as well asfor subclasses of paths that start and end with a prescribed step. Forillustration purposes, we discuss the case $\beta=1$ and express some of ourfunctions in terms of the Fuss-Catalan generating function $c_\alpha(x)$.

Bounce statistics for rational lattice paths