  In this paper we discuss the BFK type gluing formula for zeta-determinants of
Laplacians with respect to the Robin boundary condition on a compact Riemannian
manifold. As a special case, we discuss the gluing formula with respect to the
Neumann boundary condition. We also compute the difference of two
zeta-determinants with respect to the Robin and Dirichlet boundary conditions.
We use this result to compute the zeta-determinant of a Laplacian on a cylinder
when the Robin boundary condition is imposed, which extends a result in [25].
We also discuss the gluing formula more precisely when the product structure is
given near a cutting hypersurface.
