Hawaii conjecture through the lens of Cauchy indices
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909663003410432 |
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| author | Gnatyuk, Dmitry Tyaglov, Mikhail |
| author_facet | Gnatyuk, Dmitry Tyaglov, Mikhail |
| contents | Given a real polynomial $p$, we study some properties of real critical points of its logarithmic derivative $Q[p]=(p'/p)'$ using the theory of Cauchy indices. As a by-product we improve the lower bound for the number these points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22330 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hawaii conjecture through the lens of Cauchy indices Gnatyuk, Dmitry Tyaglov, Mikhail Number Theory Classical Analysis and ODEs 26C10, 30C15, 30C10 Given a real polynomial $p$, we study some properties of real critical points of its logarithmic derivative $Q[p]=(p'/p)'$ using the theory of Cauchy indices. As a by-product we improve the lower bound for the number these points. |
| title | Hawaii conjecture through the lens of Cauchy indices |
| topic | Number Theory Classical Analysis and ODEs 26C10, 30C15, 30C10 |
| url | https://arxiv.org/abs/2506.22330 |