Alternating Roots of Polynomials over Cayley-Dickson Algebras
Rings and Algebras
2024-02-14 v4 Number Theory
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.
Cite
@article{arxiv.2306.15889,
title = {Alternating Roots of Polynomials over Cayley-Dickson Algebras},
author = {Adam Chapman and Ilan Levin},
journal= {arXiv preprint arXiv:2306.15889},
year = {2024}
}