eng Science and Education Publishing American Journal of Mathematical Analysis 2333-8431 2019-11-17 7 1 11 14 10.12691/ajma-7-1-2 AJMA2019712 article A Study on a Class of Entire Dirichlet Series in n - Variables Niraj Kumar nirajkumar2001@hotmail.com 1 Lakshika Chutani 1 Department of Mathematics, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi-110078, India In this paper a class L of entire functions represented by Dirichlet series in n variables has been considered whose coefficients belong to the set of complex numbers C and is further proved to be a Banach Algebra. Also characterization of continuous linear functional is done for the set L. http://pubs.sciepub.com/ajma/7/1/2/ajma-7-1-2.pdf Dirichlet series Banach algebra topological zero divisor division algebra continuous linear functionalThis implies