Mathematics in Education, Research and Applications (MERAA), 2022(8), 1
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Published online 2022-12-31
DOI:https://doi.org/10.15414/meraa.2022.08.01.33-43
The sum of the series of reciprocals of the cubic polynomials with one zero and two different positive integer roots
Radovan Potůček
Department of Mathematics and Physics, Faculty of Military Technology, University of Defence, Brno, Czech Republic
Article Fulltext (PDF), pp. 33–43
- 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.
- Keywords: sum of the series, harmonic numbers, telescoping series, computer algebra system Maple 2020
- JEL Classification: I30
