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arXiv · 1610.09107

Pro-unipotent harmonic actions and dynamical properties of $p$-adic cyclotomic multiple zeta values

David Jarossay
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Abstract

$p$-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.

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David Jarossay. 2016-10-28. Pro-unipotent harmonic actions and dynamical properties of $p$-adic cyclotomic multiple zeta values. https://doi.org/10.2140/ant.2020.14.1711

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