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math.NT2017★ 1 cited
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…
math.NT2017
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…
math.NT2017
On the duality and the derivation relations for multiple zeta values
Naho Kawasaki, Tatsushi Tanaka
We consider the problem of deducing the duality relation from the extended double shuffle relation for multiple zeta values. Especially we prove that the duality relation for doubl…