Mathematics in Education, Research and Applications (MERAA), 2018(4), 1

Published online 20181218
DOI:https://doi.org/10.15414/meraa.2018.04.01.18
The sum of the series of reciprocals of the cubic polynomials with three different positive integer roots
Radovan Potůček
University of Defence in Brno, Faculty of Military Technology, Department of Mathematics and Physics, Czech Republic
Article Fulltext (PDF), pp. 1–8
 In this contribution we deal with the sum of the series of reciprocals of the cubic polynomials with 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 16. This paper
can be an inspiration for teachers who are teaching the topic Infinite series or as a subject matter for work with talented students.
 Keywords: sum of the series, telescoping series, harmonic number, digamma function, Euler’s constant, computer algebra system Maple
 JEL Classification: I30