In search of Newton-type inequalities
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911801576259584 |
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| author | Katkova, Olga Shapiro, Boris Vishnyakova, Anna |
| author_facet | Katkova, Olga Shapiro, Boris Vishnyakova, Anna |
| contents | In this paper, we prove a number of results providing either necessary or sufficient conditions guaranteeing that the number of real roots of real polynomials of a given degree is either less or greater than a given number. We also provide counterexamples to two earlier conjectures refining Descartes rule of signs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12200 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | In search of Newton-type inequalities Katkova, Olga Shapiro, Boris Vishnyakova, Anna Complex Variables Classical Analysis and ODEs In this paper, we prove a number of results providing either necessary or sufficient conditions guaranteeing that the number of real roots of real polynomials of a given degree is either less or greater than a given number. We also provide counterexamples to two earlier conjectures refining Descartes rule of signs. |
| title | In search of Newton-type inequalities |
| topic | Complex Variables Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2403.12200 |