In this article we present some elementary applications of the theory of meromorphic functions to Scattering Theory, in particular to the distribution of resonances (or scattering poles) for a compactly supported perturbation of the Laplacian in R , n 3 odd. The methods used here are based on those of [3]. The study of the distribution on resonances is a topic of interest in mathematical physics and has received much attention in recent years, see for example [20, 21] and references cited there… CONTINUE READING