Tallennettuna:
| Päätekijä: | |
|---|---|
| Aineistotyyppi: | Preprint |
| Julkaistu: |
2020
|
| Aiheet: | |
| Linkit: | https://arxiv.org/abs/2001.01855 |
| Tagit: |
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Sisällysluettelo:
- In this article, we prove the integrality of $v$-adic multiple zeta values (MZVs). For any index $\mathfrak{s}\in\mathbb{N}^r$ and finite place $v\in A:=\mathbb{F}_q[θ]$, Chang and Mishiba introduced the notion of the $v$-adic MZVs $ζ_A(\mathfrak{s})_v$, which is a function field analogue of Furusho's $p$-adic MZVs. By estimating the $v$-adic valuation of $ζ_A(\mathfrak{s})_v$, we show that $ζ_A(\mathfrak{s})_v$ is a $v$-adic integer for almost all $v$. This result can be viewed as a function field analogue of the integrality of $p$-adic MZVs, which was proved by Akagi-Hirose-Yasuda and Chatzistamatiou.