The influence of the electronic Coulomb repulsion on the critical temperature for a layered superconductor is studied by using the Eliashberg theory. The dependence of the critical temperature, Tc, on the interlayer distances, tunnelling integral tperpendicular to and the thickness of the conducting layers is established. The Lawrence-Doniach free energy functional for quasi-two-dimensional superconductors is used to study the influence of fluctuations of the order parameter phase on Tc and the dependence of Tc on tperpendicular to is also obtained. The critical temperature appears to increase with tperpendicular to for Tc within the range Tc*<Tc<Tc0(2), where Tc0(2) is the critical temperature formally evaluated by means of BCS theory and Tc*=(1/Tc0(2)+1/2 pi in F)-1.