  In this work we make use of the generalized zeta function technique to
investigate the vacuum energy, temperature corrections and heat kernel
coefficients associated with a scalar field under a quasiperiodic condition in
a $(D+1)$-dimensional conical spacetime. In this scenario we find that the
renormalized vacuum energy, as well as the temperature corrections, are both
zero. The nonzero heat kernel coefficients are the ones related to the usual
Euclidean divergence, and also to the nontrivial aspects of the
quaisperiodically identified conical spacetime topology. An interesting result
that arises in this configuration is that for some values of the quasiperiodic
parameter, the heat kernel coefficient associated with the nontrivial topology
vanishes. In addition, we also consider the scalar field in a
$(D+1)$-dimensional spacetime formed by the combination of a conical and screw
dislocation topological defects. In this case, we obtain a nonzero renormalized
vacuum energy density and its corresponding temperature corrections. Again, the
nonzero heat kernel coefficients found are the ones related to the Euclidean
and nontrivial topology divergences. For $D=3$ we explicitly show, in the
massless scalar field case, the limits of low and high temperatures for the
free energy. In the latter, we show that the free energy presents a classical
contribution.
