(Pure) transcendence bases in \(\varphi\)-deformed shuffle bialgebras
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Publication:1788408
zbMath1396.05119arXiv1507.01089MaRDI QIDQ1788408
Christophe Tollu, Van Chien Bui, Quoc Huan Ngô, Gérard H. E. Duchamp, Vincel Hoang Ngoc Minh
Publication date: 8 October 2018
Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.01089
Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
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Cites Work
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- On a conjecture by Pierre Cartier about a group of associators
- Deformations of algebras: twisting and perturbations
- \(\lambda\)-rings and the representation theory of the symmetric group
- Lie elements and an algebra associated with shuffles
- Noncommutative algebra, multiple harmonic sums and applications in discrete probability
- A natural ring basis for the shuffle algebra and an application to group schemes
- Combinatorial study of colored Hurwitz polyzêtas.
- Duality between quasi-symmetric functions and the Solomon descent algebra
- Symbolic integration of meromorphic differential systems via Dirichlet functions.
- Quasi-shuffle products
- Structure of polyzetas and Lyndon words
- On the structure of free Baxter algebras
- Structure of polyzetas and explicit representation on transcendence bases of shuffle and stuffle algebras
- Harmonic sums and polylogarithms at non-positive multi-indices
- On the groups \(H(\Pi,n)\). I
- Nested Sums of Symbols and Renormalized Multiple Zeta Values
- Sur divers produits de séries formelles
- Natural endomorphisms of quasi-shuffle Hopf algebras
- Sch\"utzenberger's factorization on the (completed) Hopf algebra of $q-$stuffle product
- Kontsevich’s integral for the Kauffman polynomial
- Lie Algebraic Solution of Linear Differential Equations
- On Global Representations of the Solutions of Linear Differential Equations as a Product of Exponentials
- The Radiation Theories of Tomonaga, Schwinger, and Feynman
- On the exponential solution of differential equations for a linear operator
- Iterated Integrals and Exponential Homomorphisms†
- Free differential calculus. IV: The quotient groups of the lower central series
- Direct and dual laws for automata with multiplicities
