The periodics-d-model is investigated by Green function methods. We find that the lnT-divergence appearing in third order perturbation theory for the electron selfenergy is smoothed out but still shows up in a characteristic decrease (exchange couplingγ 0) of lifetime of electrons at the fermi level asT→0 and a corresponding structure in the specific heat. However, in contrast to the single impurity case, the corresponding characteristic temperature does not vary like exp[−1/|γ|] but always is of orderγ2. From a mean field theory of the model, one finds a critical temperature for a transition into a magnetically ordered stateT c0 which varies precisely likeγ2. Thus an interesting competition between Kondo-effect and long-range magnetic order can be expected in this model.