18 citations · 26 across the 9 of their papers we have counts for
9 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…
Sum of interpolated multiple -zeta values
Zhonghua Li, Noriko Wakabayashi
Interpolated multiple -zeta values are deformation of multiple -zeta values with one parameter, , and restore classical multiple zeta values as and . In t…
Interpolation of -analogue of multiple zeta and zeta-star values
Noriko Wakabayashi
We know at least two ways to generalize multiple zeta(-star) values, or MZ(S)Vs for short, which are -analogue and -interpolation. The -analogue of MZ(S)Vs, or MZ(S)Vs…
Sum formula for finite multiple zeta values
Shingo Saito, Noriko Wakabayashi
The sum formula is one of the most well-known relations among multiple zeta values. This paper proves a conjecture of Kaneko predicting that an analogous formula holds for finite m…
Bowman-Bradley type theorem for finite multiple zeta values
Shingo Saito, Noriko Wakabayashi
The multiple zeta values are multivariate generalizations of the values of the Riemann zeta function at positive integers. The Bowman-Bradley theorem asserts that the multiple zeta…