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Polylogarithms and multiple zeta values from free Rota-Baxter algebras - MaRDI portal

Polylogarithms and multiple zeta values from free Rota-Baxter algebras (Q625850)

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Language	Label	Description	Also known as
English	Polylogarithms and multiple zeta values from free Rota-Baxter algebras	scientific article

Statements

scholarly article

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Polylogarithms and multiple zeta values from free Rota-Baxter algebras (English)

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Science China. Mathematics

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publication date

25 February 2011

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full work available at URL

https://arxiv.org/abs/1210.1818

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zbMATH Keywords

multiple zeta values

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polylogarithms

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Rota-Baxter algebras

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MaRDI profile type

MaRDI publication profile

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A unified algebraic approach to the classical Yang–Baxter equation

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Nonabelian generalized Lax pairs, the classical Yang-Baxter equation and PostLie algebras

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An analytic problem whose solution follows from a simple algebraic identity

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Special values of multiple polylogarithms

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Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops

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On the structure of free Baxter algebras

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Hopf algebras, renormalization and noncommutative geometry

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Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem

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Rota-Baxter algebras and dendriform algebras.

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Mixable shuffles, quasi-shuffles and Hopf algebras.

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Spitzer's identity and the algebraic Birkhoff decomposition in pQFT

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Birkhoff type decompositions and the Baker-Campbell-Hausdorff recursion

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Multiple polylogarithms, cyclotomy and modular complexes

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Multiple $\zeta$-motives and moduli spaces $\overline{\mathcal{M}}_{0,n}$

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Baxter algebras and shuffle products

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On free Baxter algebras: Completions and the internal construction

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Double shuffle relations and renormalization of multiple zeta values

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Explicit double shuffle relations and a generalization of Euler's decomposition formula

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Renormalization of multiple zeta values

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Differential algebraic Birkhoff decomposition and the renormalization of multiple zeta values

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Multiple harmonic series

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The algebra of multiple harmonic series

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Quasi-shuffle products

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Derivation and double shuffle relations for multiple zeta values

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Kontsevich's integral for the Homfly polynomial and relations between values of multiple zeta functions

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Double shuffles of multiple polylogarithms at roots of unity

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What is a classical r-matrix?

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Mixed Tate motives and multiple zeta values

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Analytic continuation of multiple zeta functions

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Identifiers

zbMATH Open document ID

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10.1007/s11425-010-4044-1

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:625850

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