Rooted tree maps and the derivation relation for multiple zeta values

DOI10.1142/S1793042118501592zbMath1398.05059arXiv1712.01601MaRDI QIDQ4961430

Henrik Bachmann, Tatsushi Tanaka

Publication date: 29 October 2018

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

Full work available at URL: https://arxiv.org/abs/1712.01601

zbMATH Keywords

Hopf algebra of rooted treesmultiple zeta valuesderivationDynkin operatornoncommutative polynomial algebra

Mathematics Subject Classification ID

Trees (05C05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Hopf algebras and their applications (16T05) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (4)

Yamamoto's interpolation of finite multiple zeta and zeta-star values ⋮ Rooted tree maps for multiple \(L\)-values ⋮ ROOTED TREE MAPS AND THE KAWASHIMA RELATIONS FOR MULTIPLE ZETA VALUES ⋮ Algebraic aspects of rooted tree maps

Cites Work

• On Dynkin and Klyachko idempotents in graded bialgebras
• Hopf algebras, renormalization and noncommutative geometry
• Derivation and double shuffle relations for multiple zeta values

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