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arXiv · 2506.10838

Three integers arising from B\'{e}zout's identity and resultants of integer polynomials

Zhiqian Liu·Xiaoting Li·Wenheng Liu·Min Sha
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Abstract

In this paper, we study three integers arising naturally from B\'{e}zout's identity, the resultant and the reduced resultant of two coprime integer polynomials. We establish several new divisibility relations among them. We also pose two conjectures by making computations.

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Zhiqian Liu, Xiaoting Li, Wenheng Liu, Min Sha. 2025-06-12. Three integers arising from B\'{e}zout's identity and resultants of integer polynomials. https://arxiv.org/abs/2506.10838

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