On the discriminants of truncated logarithmic polynomials
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911764601372672 |
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| author | Cullinan, John Gajek-Leonard, Rylan |
| author_facet | Cullinan, John Gajek-Leonard, Rylan |
| contents | We provide evidence for a conjecture of Yamamura that the truncated logarithmic polynomials \[ F_n(x) = 1 + x + \frac{x^2}{2} + \cdots + \frac{x^n}{n} \] have Galois group $S_n$ for all $n \geq 1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14138 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the discriminants of truncated logarithmic polynomials Cullinan, John Gajek-Leonard, Rylan Number Theory We provide evidence for a conjecture of Yamamura that the truncated logarithmic polynomials \[ F_n(x) = 1 + x + \frac{x^2}{2} + \cdots + \frac{x^n}{n} \] have Galois group $S_n$ for all $n \geq 1$. |
| title | On the discriminants of truncated logarithmic polynomials |
| topic | Number Theory |
| url | https://arxiv.org/abs/2401.14138 |