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arXiv · 2306.15889

Alternating Roots of Polynomials over Cayley-Dickson Algebras

Adam Chapman·Ilan Levin
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Abstract

We introduce the notions of alternating roots of polynomials and alternating polynomials over a Cayley-Dickson algebra, and prove a connection between the alternating roots of a given polynomial and the roots of the corresponding alternating polynomial over the Cayley-Dickson doubling of the algebra. We also include a detailed Octave code for the computation of alternating roots over Hamilton's quaternions.

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Adam Chapman, Ilan Levin. 2023-06-28. Alternating Roots of Polynomials over Cayley-Dickson Algebras. https://doi.org/10.46298/cm.11514

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