Explicit statement of a conjecture on resultantal varieties
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866910787245703168 |
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| author | Ehbauer, Stefan Grishkov, Aleksandr Logachev, Dmitry |
| author_facet | Ehbauer, Stefan Grishkov, Aleksandr Logachev, Dmitry |
| contents | The paper [GLZ] "L-functions of Carlitz modules, resultantal varieties and rooted binary trees" is devoted to a description of some resultantal varieties related to L-functions of Carlitz modules. It contains a conjecture that some of these varieties coincide. This conjecture can be formulated in terms of polynomials, namely, in terms of a fact that an explicitly defined polynomial belongs to the radical of the ideal generated by some other polynomials. We give an explicit statement of this conjecture and a numerical result. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2209_04044 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Explicit statement of a conjecture on resultantal varieties Ehbauer, Stefan Grishkov, Aleksandr Logachev, Dmitry Number Theory Combinatorics 11C20, 05A19, 05E99, 11C99, 15A15 The paper [GLZ] "L-functions of Carlitz modules, resultantal varieties and rooted binary trees" is devoted to a description of some resultantal varieties related to L-functions of Carlitz modules. It contains a conjecture that some of these varieties coincide. This conjecture can be formulated in terms of polynomials, namely, in terms of a fact that an explicitly defined polynomial belongs to the radical of the ideal generated by some other polynomials. We give an explicit statement of this conjecture and a numerical result. |
| title | Explicit statement of a conjecture on resultantal varieties |
| topic | Number Theory Combinatorics 11C20, 05A19, 05E99, 11C99, 15A15 |
| url | https://arxiv.org/abs/2209.04044 |