English

Rooted Tree Maps

Number Theory 2017-12-05 v1 Combinatorics

Abstract

Based on Hopf algebra of rooted trees introduced by Connes and Kreimer, we construct a class of linear maps on noncommutative polynomial algebra in two indeterminates, namely rooted tree maps. We also prove that their maps induce a class of relations among multiple zeta values.

Keywords

Cite

@article{arxiv.1712.01029,
  title  = {Rooted Tree Maps},
  author = {Tatsushi Tanaka},
  journal= {arXiv preprint arXiv:1712.01029},
  year   = {2017}
}

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14 pages