On a conjecture by Pierre Cartier about a group of associators
type: Item
instance of: scholarly article
title: On a conjecture by Pierre Cartier about a group of associators
zbMATH Open document ID: 1283.11122
published in: Acta Mathematica Vietnamica
publication date: 2013-11-26T00:00:00Z
Mathematics Subject Classification ID: 11M32
Mathematics Subject Classification ID: 05E15
Mathematics Subject Classification ID: 12H05
Mathematics Subject Classification ID: 17B01
Mathematics Subject Classification ID: 33B15
Mathematics Subject Classification ID: 37F25
zbMATH DE Number: 6233016
zbMATH Keywords: algebraic computation
zbMATH Keywords: combinatorial Hopf algebra
zbMATH Keywords: Drinfel'd associators
zbMATH Keywords: free Lie algebra
zbMATH Keywords: noncommutative symbolic computation
zbMATH Keywords: nonlinear dynamical systems
zbMATH Keywords: polylogarithm
zbMATH Keywords: polyzêta
zbMATH Keywords: renormalization
zbMATH Keywords: regularization
zbMATH Keywords: special functions
zbMATH Keywords: transcendence basis
Wikidata QID: Q123308365
MaRDI profile type: Publication
full work available at URL: s40306-013-0024-1
OpenAlex ID: W2097553307
cites work: Q3933122
cites work: Q3994777
cites work: Q3994901
cites work: Q4779130
cites work: Q4846800
cites work: Iterated path integrals
cites work: Q5485340
cites work: Q5749433
cites work: Q3351551
cites work: A rationality criterion coming from noncommutative geometry
cites work: Q3012364
cites work: ARI/GARI, dimorphy and multiple zeta arithmetic: a first evaluation
cites work: Matrices de Hankel
cites work: Fonctionnelles causales non linéaires et indéterminées non commutatives
cites work: Realisation locale des systèmes non linéaires, algèbres de Lie filtrees transitives et séries generatrices non commutatives
cites work: Q3139465
cites work: Summations of polylogarithms via Evaluation transform.
cites work: Dirichlet functions of order \(n\) and parameter \(t\)
cites work: Q4453460
cites work: Symbolic integration of meromorphic differential systems via Dirichlet functions.
cites work: Lyndon words, polylogarithms and the Riemann \(\zeta\) function
cites work: Shuffle algebra and polylogarithms
cites work: Combinatorial aspects of polylogarithms and Euler-Zagier sums
cites work: From the algebras of Riemann polyzetas to the algebra of Hurwitz polyzetas
cites work: Q5339349
cites work: Multiple harmonic series
cites work: The algebra of multiple harmonic series
cites work: Derivation and double shuffle relations for multiple zeta values
cites work: Kontsevich’s integral for the Kauffman polynomial
cites work: Double shuffles of multiple polylogarithms at roots of unity
cites work: Lie elements and an algebra associated with shuffles
cites work: Q3134850
cites work: On the definition of a family of automata
cites work: Q4324348
DOI: 10.1007/S40306-013-0024-1
author: V. Hoang Ngoc Minh
description: scientific article; zbMATH DE number 6233016