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Rooted tree maps and the derivation relation for multiple zeta values

By Henrik Bachmann and Tatsushi Tanaka

Abstract

Rooted tree maps assign to an element of the Connes-Kreimer Hopf algebra of rooted trees a linear map on the noncommutative polynomial algebra in two letters. Evaluated at any admissible word these maps induce linear relations between multiple zeta values. In this note we show that the derivation relations for multiple zeta values are contained in this class of linear relations.Comment: 6 page

Topics: Mathematics - Number Theory, Mathematics - Combinatorics, 05C05, 05C25, 11M32, 16T05
Year: 2017
OAI identifier: oai:arXiv.org:1712.01601
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