Polylogarithms and multiple zeta values from free Rota-Baxter algebras
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Publication:625850
DOI10.1007/s11425-010-4044-1zbMath1264.11077arXiv1210.1818OpenAlexW3105173260MaRDI QIDQ625850
Publication date: 25 February 2011
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.1818
Gamma, beta and polygamma functions (33B15) Hopf algebras and their applications (16T05) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
Related Items (7)
A new approach to Rota–Baxter coalgebras ⋮ Conical zeta values and their double subdivision relations ⋮ Construction of Rota-Baxter algebras via Hopf module algebras. ⋮ Rota-Baxter bialgebra structures arising from (co-)quasi-idempotent elements ⋮ Rota–Baxter coalgebras and Rota–Baxter bialgebras ⋮ Free Ω-Rota–Baxter algebras and Gröbner–Shirshov bases ⋮ Rota–Baxter cosystems and coquasitriangular mixed bialgebras
Cites Work
- Explicit double shuffle relations and a generalization of Euler's decomposition formula
- An analytic problem whose solution follows from a simple algebraic identity
- What is a classical r-matrix?
- Renormalization of multiple zeta values
- Nonabelian generalized Lax pairs, the classical Yang-Baxter equation and PostLie algebras
- Differential algebraic Birkhoff decomposition and the renormalization of multiple zeta values
- Multiple harmonic series
- Hopf algebras, renormalization and noncommutative geometry
- Multiple polylogarithms, cyclotomy and modular complexes
- Kontsevich's integral for the Homfly polynomial and relations between values of multiple zeta functions
- The algebra of multiple harmonic series
- Mixed Tate motives and multiple zeta values
- Double shuffles of multiple polylogarithms at roots of unity
- Baxter algebras and shuffle products
- Quasi-shuffle products
- Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
- On free Baxter algebras: Completions and the internal construction
- Rota-Baxter algebras and dendriform algebras.
- Birkhoff type decompositions and the Baker-Campbell-Hausdorff recursion
- Mixable shuffles, quasi-shuffles and Hopf algebras.
- On the structure of free Baxter algebras
- Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
- Double shuffle relations and renormalization of multiple zeta values
- Multiple $\zeta$-motives and moduli spaces $\overline{\mathcal{M}}_{0,n}$
- Special values of multiple polylogarithms
- Spitzer's identity and the algebraic Birkhoff decomposition in pQFT
- Analytic continuation of multiple zeta functions
- A unified algebraic approach to the classical Yang–Baxter equation
- Derivation and double shuffle relations for multiple zeta values
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