5 citations · 6 across the 4 of their papers we have counts for
7 papers
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…
Checkerboard style Schur multiple zeta values and odd single zeta values
Henrik Bachmann, Yoshinori Yamasaki
We give explicit formulas for the recently introduced Schur multiple zeta values, which generalize multiple zeta(-star) values and which assign to a Young tableaux a real number. I…
A dimension conjecture for q-analogues of multiple zeta values
Henrik Bachmann, Ulf Kuehn
We study a class of q-analogues of multiple zeta values given by certain formal q-series with rational coefficients. After introducing a notion of weight and depth for these q-anal…
Interpolated Schur multiple zeta values
Henrik Bachmann
Inspired by a recent work of M. Nakasuji, O. Phuksuwan and Y. Yamasaki we combine interpolated multiple zeta values and Schur multiple zeta values into one object, which we call in…
On multiple series of Eisenstein type
Henrik Bachmann, Hirofumi Tsumura
The aim of this paper is to study certain multiple series which can be regarded as multiple analogues of Eisenstein series. As a prior research, the second-named author considered…