The sum of the series of reciprocals of the cubic polynomials with one zero and two different positive integer roots

Abstract

This contribution is a follow-up to five preceding author’s papers and deals with the sum of the series of reciprocals of the cubic polynomials with one zero and two different positive integer roots. We derive the formula for the sum of these series and verify it by some examples using the basic programming language of the computer algebra system Maple 2020