14 citations · 30 across the 14 of their papers we have counts for
14 papers
On a family of relations of rooted tree maps
Hideki Murahara, Tatsushi Tanaka, Noriko Wakabayashi
This paper is devoted to proving an infinite sequence of relations for rooted tree maps. On the way, we also give a basis for the space of rooted tree maps.
Rooted tree maps for multiple -values from a perspective of harmonic algebras
Hideki Murahara, Tatsushi Tanaka, Noriko Wakabayashi
In this paper, we show the image of rooted tree maps themselves forms a subspace of the kernel of the evaluation map of multiple -values. For its proof, we define the diamond pr…
Algebraic aspects of rooted tree maps
Hideki Murahara, Tatsushi Tanaka
Based on the Connes--Kreimer Hopf algebra of rooted trees, the rooted tree maps are defined as linear maps on noncommutative polynomial algebra in two indeterminates. It is known t…
Rooted tree maps and the Kawashima relations for multiple zeta values
Henrik Bachmann, Tatsushi Tanaka
Recently, inspired by the Connes-Kreimer Hopf algebra of rooted trees, the second named author introduced rooted tree maps as a family of linear maps on the noncommutative polynomi…
Rooted tree maps and the derivation relation for multiple zeta values
Henrik Bachmann, Tatsushi Tanaka
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 admi…
Rooted Tree Maps
Tatsushi Tanaka
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 roote…