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arXiv · 2501.02261

Vieta's Formulas for Quaternionic Polynomials

Vitalii Shpakivskyi
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Abstract

The paper presents analogues of some Vieta formulas for quaternionic polynomials of the form $R_n(w)=\sum\limits_{m=0}^{n}A_mx^m$. A criterion for the sphericity of the root (zero) of a polynomial $R_n(w)$ is established.

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Vitalii Shpakivskyi. 2025-01-04. Vieta's Formulas for Quaternionic Polynomials. https://arxiv.org/abs/2501.02261

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