Structure of polyzetas and Lyndon words

DOI10.1007/s10013-013-0047-xzbMath1296.05204OpenAlexW2044124712MaRDI QIDQ2510571

Hoang Ngoc Minh

Publication date: 1 August 2014

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-013-0047-x

zbMATH Keywords

polylogarithmregularizationfree Lie algebrarenormalizationspecial functionscombinatorial Hopf algebraalgebraic computationDrinfel'd associatorsnoncommutative symbolic computationtranscendence basispolyzeta

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Renormalization of holomorphic dynamical systems (37F25) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items

Structure of polyzetas and explicit representation on transcendence bases of shuffle and stuffle algebras ⋮ Harmonic sums and polylogarithms at non-positive multi-indices ⋮ Dual bases for noncommutative symmetric and quasi-symmetric functions via monoidal factorization ⋮ Shuffle product formulas of multiple zeta values ⋮ Mathematical Renormalization in Quantum Electrodynamics via Noncommutative Generating Series ⋮ (Pure) transcendence bases in \(\varphi\)-deformed shuffle bialgebras ⋮ On the solutions of the universal differential equation with three regular singularities (on solutions of \(KZ_3)\) ⋮ Harmonic sums and polylogarithms at negative multi-indices ⋮ Computation tool for the q -deformed quasi-shuffle algebras and representations of structure of MZVs

Uses Software

• Axodraw

Cites Work

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