An elementary proof of a series evaluation in terms of harmonic numbers
Helmut Prodinger
TL;DR
This paper presents a straightforward and elementary proof of a series evaluation involving harmonic numbers, simplifying previous complex proofs by Lyons, Paule, and Riese.
Contribution
It provides a simpler, more accessible proof of an existing series identity, improving understanding and teaching of the result.
Findings
The proof is elementary and easier to understand.
It confirms the validity of the series evaluation.
The approach may be applicable to similar identities.
Abstract
An elementary proof of an identity by Lyons, Paule and Riese is given. It is simpler than all the 3 published proofs.
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Taxonomy
TopicsScientific Research and Discoveries · Quantum chaos and dynamical systems · Algorithms and Data Compression