Title: Vacuum Energy for Generalized Dirac Combs at T = 0
Abstract: The quantum vacuum energy for a hybrid comb of Dirac $\delta$-$\delta^\prime$ potentials is computed by using the energy of the single $\delta$-$\delta^\prime$ potential over the real line that makes up the comb. The zeta function of a comb periodic potential is the continuous sum of zeta functions over the dual primitive cell of Bloch quasi-momenta. The result obtained for the quantum vacuum energy is non-perturbative in the sense that the energy function is not analytical for small couplings