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Pro-unipotent harmonic actions and dynamical properties of $p$-adic cyclotomic multiple zeta values
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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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Cited by 1 Pith paper
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On generic double shuffle relations, localized multiple polylogarithms and algebraic functions
A sketch of a construction of subvarieties of M_{0,n} carrying rational solutions to generic double shuffle equations, where the subvariety is defined as the locus where those equations hold.
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