Dirichlet functions of order \(n\) and parameter \(t\)
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Publication:1381827
DOI10.1016/S0012-365X(97)00117-9zbMath1036.05003MaRDI QIDQ1381827
Publication date: 1998
Published in: Discrete Mathematics (Search for Journal in Brave)
free Lie algebraduality theoremsgenerating seriesdual algebrafree associative algebraLyndon basisnoncommutative seriesdynamical systems involving rational seriesevaluation of rational series
Related Items (9)
Harmonic sums and polylogarithms at non-positive multi-indices ⋮ Shuffle product formulas of multiple zeta values ⋮ On a conjecture by Pierre Cartier about a group of associators ⋮ Mathematical Renormalization in Quantum Electrodynamics via Noncommutative Generating Series ⋮ Analytic and combinatoric aspects of Hurwitz polyzetas ⋮ Combinatorial study of colored Hurwitz polyzêtas. ⋮ Combinatorial properties and effective analytic continuation of Hurwitz polyzetas and their analogous ⋮ Structure of polyzetas and Lyndon words ⋮ On the solutions of the universal differential equation with three regular singularities (on solutions of \(KZ_3)\)
Uses Software
Cites Work
- The Campbell-Baker-Hausdorff-Dynkin formula and solutions of differential equations
- A combinatorial approach to nonlinear functional expansions: An introduction with an example
- A natural ring basis for the shuffle algebra and an application to group schemes
- Summations of polylogarithms via Evaluation transform.
- Inversion height in free fields
- Approximation of nonlinear dynamic systems by rational series
- Lyndon Words, Free Algebras and Shuffles
- Fonctionnelles causales non linéaires et indéterminées non commutatives
- Iterated path integrals
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