Symmetry between Series if Entangled by Sums

Henk Koppelaar; Peyman Nasehpour; Maarten Looijen

doi:10.20944/preprints202408.2107.v1

Preprint Article Version 1 This version is not peer-reviewed

Version 1 : Received: 28 August 2024 / Approved: 29 August 2024 / Online: 29 August 2024 (08:31:56 CEST)

In analogy with entanglement in physics, the concept of entanglement has been developed in mathematics as a symmetry to build upon as a tool to study 'proximity' relations between different number sequences and series in a unifying way. Examples of entanglement are shown. A general algorithm for detecting entangled sequences/series is given in the appendix. The novelty of this paper is to propose the concept of entanglement as a tool to study different sequences and se-ries-series phenomena. To enable useful treatment suggested by Poincaré.

entanglement; Gosper; Kummer; sequences; series; closed form sum

Computer Science and Mathematics, Computational Mathematics

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Symmetry between Series if Entangled by Sums

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