AN ANALYTIC CONTINUATION FOR CERTAIN FUNCTIONS DEFINED BY DIRICHLET SERIES

摘要

In this paper we present some preliminary work necessarynto extend his results to a class of Dirichlet series whose generating functions are analytic in a strip to the left of the region of convergence with the possible exception of a bounded region. This class of functions is interesting because of the unity of exposition it allows and because there are readily available in this class examples which show why certain restrictions imposed by Richest are necessary if a proof is to be given along his lines.