David Jarossay

activity

20142025

most citedAdjoint cyclotomic multiple zeta values and cyclotomic multiple harmonic values

14 citations · 57 across the 17 of their papers we have counts for

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Showing 2016 · math.NTShow all

5 papers · 2 filters

math.NT2016

$p$ -adic multiple zeta values and $p$ -adic pro-unipotent harmonic actions : summary of parts I and II

David Jarossay

This is a review on the two first parts of our work on $p$ -adic multiple zeta values at $N$ -th roots of unity ( $p$ MZV $μ_{N}$ 's), the $p$ -adic periods of the crystalline pro-unipote…

math.NT2016★ 1 cited

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

David Jarossay

$p$ -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} -…

math.NT2016★ 7 cited

Depth reductions for associators

David Jarossay

We prove that for any associator, two specific families of coefficients of the associator can be expressed in terms of coefficients of lower depth. Combining these results to our n…

math.NT2016★ 9 cited

An explicit theory of $π_{1}^{un, crys} (P^{1} - {0, μ_{N}, \infty})$ - II-3 : Sequences of multiple harmonic sums viewed as periods

David Jarossay

Let $X = P^{1} - ({0, \infty} \cup μ_{N}) / W (F_{q})$ , with $N \in N^{*}$ and $F_{q}$ of characteristic $p$ prime to $N$ …

math.NT2016★ 1 cited

An explicit theory of $π_{1}^{\un,\crys}(\mathbb{P}^{1} - \{0,μ_{N},\infty\})$ - II-2 : From standard algebraic relations of weighted multiple harmonic sums to those of cyclotomic $p$ -adic multiple zeta values

David Jarossay

Let $X_{0} = P^{1} - ({0, \infty} \cup μ_{N}) / F_{q}$ , with $N \in N^{*}$ and $F_{q}$ of characteristic $p > 0$ and containing a…

p-adic multiple zeta values and p-adic pro-unipotent harmonic actions : summary of parts I and II

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

Depth reductions for associators

An explicit theory of π1un,crys​(P1−{0,μN​,∞}) - II-3 : Sequences of multiple harmonic sums viewed as periods

An explicit theory of $π_{1}^{\un,\crys}(\mathbb{P}^{1} - \{0,μ_{N},\infty\})$ - II-2 : From standard algebraic relations of weighted multiple harmonic sums to those of cyclotomic p-adic multiple zeta values

$p$ -adic multiple zeta values and $p$ -adic pro-unipotent harmonic actions : summary of parts I and II

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

An explicit theory of $π_{1}^{un, crys} (P^{1} - {0, μ_{N}, \infty})$ - II-3 : Sequences of multiple harmonic sums viewed as periods

An explicit theory of $π_{1}^{\un,\crys}(\mathbb{P}^{1} - \{0,μ_{N},\infty\})$ - II-2 : From standard algebraic relations of weighted multiple harmonic sums to those of cyclotomic $p$ -adic multiple zeta values