Double shuffle relations for arborified zeta values

@article{Clavier2020DoubleSR,
  title={Double shuffle relations for arborified zeta values},
  author={Pierre J. Clavier},
  journal={Journal of Algebra},
  year={2020},
  volume={543},
  pages={111-155}
}
  • Pierre J. Clavier
  • Published 2020
  • Mathematics
  • Journal of Algebra
  • Abstract Arborified zeta values are defined as iterated series and integrals using the universal properties of rooted trees. This approach allows to study their convergence domain and to relate them to multiple zeta values. Generalisations to rooted trees of the stuffle and shuffle products are defined and studied. It is further shown that arborifed zeta values are algebra morphisms for these new products on trees. 

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