  A Riemmanian foliated dynamical system of 3-dimension $(\mathrm{RFDS}^{3})$
is a closed Riemannian 3-manifold with additional structures: foliation,
dynamical system. In the context of arithmetic topology, it is a
geometric/analytic analogue of an arithmetic scheme with a conjectural
dynamical system suggested by C. Deninger. In this paper, we show leafwise
cohomological expression of dynamical zeta function on a Riemannian foliated
dynamical system.
