Ramanujan Summation for Number of Diagonals in a Polygon

Abstract

Among several ideas existing in Summability Theory which deals with assigning finite values to infinite divergent series of real numbers, Ramanujan Summation is one among them. There is a well known compact formula for determining number of diagonals in a convex polygon with n sides. In this paper, we will prove a new result pertaining to determining Ramanujan Summation for the divergent series whose terms are positive integral powers of number of diagonals in an n sided convex polygon.