Rooted tree maps and the derivation relation for multiple zeta values

Bachmann, Henrik; Tanaka, Tatsushi

doi:10.1142/S1793042118501592

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Rooted tree maps and the derivation relation for multiple zeta values

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Bachmann, Henrik
Max Planck Institute for Mathematics, Max Planck Society;

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Tanaka, Tatsushi
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1142/S1793042118501592
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Citation

Bachmann, H., & Tanaka, T. (2018). Rooted tree maps and the derivation relation for multiple zeta values. International Journal of Number Theory, 14(10), 2657-2662. doi:10.1142/S1793042118501592.

Cite as: https://hdl.handle.net/21.11116/0000-0003-A562-4

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.