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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2308.05825 |
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| _version_ | 1866909050230276096 |
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| author | Chen, Yen-Tsung |
| author_facet | Chen, Yen-Tsung |
| contents | Let $\overline{k}$ be a fixed algebraic closure of $k$. When the finite place $v$ is of degree one, we show that all $\overline{k}$-linear relations among $v$-adic Carlitz multiple polylogarithms at algebraic points arise from $k$-linear relations among these values of the same weight. As an application, we establish a function field analogue of Furusho-Yamashita's conjecture for $v$-adic multiple zeta values whenever the degree of the place $v$ is one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_05825 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A $v$-adic variant of Anderson-Brownawell-Papanikolas linear independence criterion and its application Chen, Yen-Tsung Number Theory Let $\overline{k}$ be a fixed algebraic closure of $k$. When the finite place $v$ is of degree one, we show that all $\overline{k}$-linear relations among $v$-adic Carlitz multiple polylogarithms at algebraic points arise from $k$-linear relations among these values of the same weight. As an application, we establish a function field analogue of Furusho-Yamashita's conjecture for $v$-adic multiple zeta values whenever the degree of the place $v$ is one. |
| title | A $v$-adic variant of Anderson-Brownawell-Papanikolas linear independence criterion and its application |
| topic | Number Theory |
| url | https://arxiv.org/abs/2308.05825 |