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

collaborators

17 papers

math.NT2025

$p$ -adic multiple zeta values and binomial multiple harmonic sums

Hidekazu Furusho, David Jarossay

We present a concise method for deriving an explicit formula for $p$ -adic multiple zeta values. The formula features a variant of multiple harmonic sums, termed binomial multiple h…

math.NT2024

Polylogarithmic motivic Chabauty-Kim for $P^{1} ∖ {0, 1, \infty}$ : the geometric step via resultants

David Jarossay, David T. -B. G. Lilienfeldt, Francesco Maria Saettone +2

Given a finite set $S$ of distinct primes, we propose a method to construct polylogarithmic motivic Chabauty-Kim functions for $P^{1} ∖ {0, 1, \infty}$ using resul…

math.AG2023

The fundamental group of surfaces parametrizing cuboids

Benjamin Enriquez, David Jarossay, Francesco Maria Saettone +1

We prove that an irreducible projective complete intersection of dimension at least two with isolated singularities has trivial fundamental group. As an application, the surface $Υ…

math.AG2021

$M_{0, 5}$ : Towards the Chabauty-Kim method in higher dimensions

Ishai Dan-Cohen, David Jarossay

If Z is an open subscheme of Spec ZZ, X is a sufficiently nice Z-model of a smooth curve over QQ, and p is a closed point of Z, the Chabauty-Kim method leads to the construction of…

math.NT2019

On generic double shuffle relations, localized multiple polylogarithms and algebraic functions

David Jarossay

We define subvarieties of $M_{0, n}$ equipped with algebraic functions that are solutions to the generic double shuffle equations satisfied by multiple polylogarithms on $…

math.NT2018

$p$ -adic multiple $L$ -functions and cyclotomic multiple harmonic values

Hidekazu Furusho, David Jarossay

We show that the special values at tuples of positive integers of the $p$ -adic multiple $L$ -function introduced by the first-named author et al. can be expressed in terms of the cy…

math.NT2017★ 1 cited

$p$ -adic multiple zeta values at roots of unity and $p$ -adic pro-unipotent harmonic actions - IV-1 : $p$ -adic multiple zeta values at roots of unity extended to sequences of integers of any sign

David Jarossay

This work is a study of $p$ -adic multiple zeta values at roots of unity ( $p$ MZV $μ_{N}$ 's), the $p$ -adic periods of the crystalline pro-unipotent fundamental groupoid of $(\mathbb{P…

math.NT2017

An explicit theory of $π_{1}^{\un,\crys}(\mathbb{P}^{1} - \{0,μ_{N},\infty\})$ - V-1 : The Frobenius extended to $π_{1}^{\un,\DR}(\mathbb{P}^{1} - \{0,μ_{p^αN},\infty\})$

David Jarossay

Let $p$ a prime number. For all $N \in N^{*}$ prime to $p$ , let $k_{N}$ be a finite field of characteristic $p$ containing a primitive $N$ -th root of unity. Let $X_{k_{…

math.NT2017★ 2 cited

Non-vanishing of certain cyclotomic multiple harmonic sums and application to the non-vanishing of certain $p$ -adic cyclotomic multiple zeta values

David Jarossay

We define and apply a method to study the non-vanishing of $p$ -adic cyclotomic multiple zeta values. We prove the non-vanishing of certain cyclotomic multiple harmonic sums, and, v…

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…

math.NT2015★ 12 cited

A bound on the norm of overconvergent $p$ -adic multiple polylogarithms

David Jarossay

We generalize the definition of overconvergent $p$ -adic multiple polylogarithms and of $p$ -adic cyclotomic multiple zeta values and we prove a bound on their norm. A byproduct of t…

math.NT2015★ 10 cited

Pro-unipotent harmonic actions and a computation of $p$ -adic cyclotomic multiple zeta values

David Jarossay

We obtain formulas relating $p$ -adic cyclotomic multiple zeta values and cyclotomic multiple harmonic sums. In particular, we obtain a series formula for $p$ -adic cyclotomic multip…

math.NT2014★ 14 cited

Adjoint cyclotomic multiple zeta values and cyclotomic multiple harmonic values

David Jarossay

We introduce adjoint cyclotomic multiple zeta values and cyclotomic multiple harmonic values. They are two variants of cyclotomic multiple zeta values, closely related to each othe…

p-adic multiple zeta values and binomial multiple harmonic sums

Polylogarithmic motivic Chabauty-Kim for P1∖{0,1,∞}: the geometric step via resultants

The fundamental group of surfaces parametrizing cuboids

M0,5​: Towards the Chabauty-Kim method in higher dimensions

On generic double shuffle relations, localized multiple polylogarithms and algebraic functions

p-adic multiple L-functions and cyclotomic multiple harmonic values

p-adic multiple zeta values at roots of unity and p-adic pro-unipotent harmonic actions - IV-1 : p-adic multiple zeta values at roots of unity extended to sequences of integers of any sign

An explicit theory of $π_{1}^{\un,\crys}(\mathbb{P}^{1} - \{0,μ_{N},\infty\})$ - V-1 : The Frobenius extended to $π_{1}^{\un,\DR}(\mathbb{P}^{1} - \{0,μ_{p^αN},\infty\})$

Non-vanishing of certain cyclotomic multiple harmonic sums and application to the non-vanishing of certain p-adic cyclotomic 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

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

A bound on the norm of overconvergent p-adic multiple polylogarithms

Pro-unipotent harmonic actions and a computation of p-adic cyclotomic multiple zeta values

Adjoint cyclotomic multiple zeta values and cyclotomic multiple harmonic values

$p$ -adic multiple zeta values and binomial multiple harmonic sums

Polylogarithmic motivic Chabauty-Kim for $P^{1} ∖ {0, 1, \infty}$ : the geometric step via resultants

$M_{0, 5}$ : Towards the Chabauty-Kim method in higher dimensions

$p$ -adic multiple $L$ -functions and cyclotomic multiple harmonic values

$p$ -adic multiple zeta values at roots of unity and $p$ -adic pro-unipotent harmonic actions - IV-1 : $p$ -adic multiple zeta values at roots of unity extended to sequences of integers of any sign

Non-vanishing of certain cyclotomic multiple harmonic sums and application to the non-vanishing of certain $p$ -adic cyclotomic 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

A bound on the norm of overconvergent $p$ -adic multiple polylogarithms

Pro-unipotent harmonic actions and a computation of $p$ -adic cyclotomic multiple zeta values