On the Analytic Continuation of Functions Represented by a Class of Dirichlet's Series

Let†  

∑ ^∞ _p φ (n) e ^-rf(n)  (1.1) ,  (p, a positive integer),

p where s = δ + it, be a Dirichlet's series. Then the main object of this paper is to study the analytic continuation of functions represented by a class of Dirichlet's Series for which a relation of the type.