Pro-unipotent harmonic actions and dynamical properties of $p$-adic cyclotomic multiple zeta values
| Autor: | Jarossay, David |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Alg. Number Th. 14 (2020) 1711-1746 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.2140/ant.2020.14.1711 |
| Popis: | $p$-adic cyclotomic multiple zeta values depend on the choice of a number of iterations of the crystalline Frobenius of the pro-unipotent fundamental groupoid of $\mathbb{P}^{1} - \{0,\mu_{N},\infty\}$. In this paper we study how the iterated Frobenius depends on the number of iterations, in relation with the computation of $p$-adic cyclotomic multiple zeta values in terms of cyclotomic multiple harmonic sums. This provides new results on that computation and the definition of a new pro-unipotent harmonic action. Comment: 27 pages. Part I-3 of "$p$-adic cyclotomic multiple zeta values and $p$-adic pro-unipotent harmonic actions" |
| Databáze: | arXiv |
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