Three integers arising from Bézout's identity and resultants of integer polynomials
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918447750840320 |
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| author | Liu, Zhiqian Li, Xiaoting Liu, Wenheng Sha, Min |
| author_facet | Liu, Zhiqian Li, Xiaoting Liu, Wenheng Sha, Min |
| contents | In this paper, we study three integers arising naturally from Bézout'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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_10838 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Three integers arising from Bézout's identity and resultants of integer polynomials Liu, Zhiqian Li, Xiaoting Liu, Wenheng Sha, Min Number Theory In this paper, we study three integers arising naturally from Bézout'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. |
| title | Three integers arising from Bézout's identity and resultants of integer polynomials |
| topic | Number Theory |
| url | https://arxiv.org/abs/2506.10838 |