  Our previous work presented explicit formulas for the generalized zeta
function and the generalized Ihara zeta function corresponding to the Grover
walk and the positive-support version of the Grover walk on the regular graph
via the Konno-Sato theorem, respectively. This paper extends these walks to a
class of walks including random walks, correlated random walks, quantum walks,
and open quantum random walks on the torus by the Fourier analysis.
