Differential algebraic Birkhoff decomposition and the renormalization of multiple zeta values

DOI10.1016/j.jnt.2007.10.005zbMath1186.11052arXiv0710.0432OpenAlexW1986427202MaRDI QIDQ1024413

Li Guo, Bin Zhang

Publication date: 17 June 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.0432

zbMATH Keywords

multiple zeta valuesdifferential Hopf algebrasdifferential Rota-Baxter algebras

Mathematics Subject Classification ID

Differential algebra (12H05) Multiple Dirichlet series and zeta functions and multizeta values (11M32) Associative rings and algebras arising under various constructions (16S99)

Related Items (9)

Evaluations of multiple Dirichlet \(L\)-values via symmetric functions ⋮ Localization of Rota-Baxter algebras ⋮ Polylogarithms and multiple zeta values from free Rota-Baxter algebras ⋮ Renormalised conical zeta values ⋮ Renormalization of multiple zeta values ⋮ Renormalization of multiple \(q\)-zeta values ⋮ Operated semigroups, Motzkin paths and rooted trees ⋮ Infinitesimal unitary Hopf algebras and planar rooted forests ⋮ Euler’s constant: Euler’s work and modern developments

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