6 citations · 6 across the 12 of their papers we have counts for
27 papers
Interpolated polynomial multiple zeta values of fixed weight, depth, and height
Minoru Hirose, Hideki Murahara, Shingo Saito
We define the interpolated polynomial multiple zeta values as a generalization of all of multiple zeta values, multiple zeta-star values, interpolated multiple zeta values, symmetr…
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…
-adic symmetric multiple zeta values for indices in which and appear alternately
Minoru Hirose, Hideki Murahara, Shingo Saito
We consider the symmetric multiple zeta values in without modulo reduction for indices in which and appear alternately. We investigate those values th…
Ohno relation for regularized multiple zeta values
Minoru Hirose, Hideki Murahara, Shingo Saito
The Ohno relation for multiple zeta values can be formulated as saying that a certain operator, defined for indices, is invariant under taking duals. In this paper, we generalize t…
Ohno-type relation for interpolated multiple zeta values
Minoru Hirose, Hideki Murahara, Masataka Ono
We prove the Ohno-type relation for the interpolated multiple zeta values, which was introduced first by Yamamoto. Same type results for finite multiple zeta values are also given.…
A note on Ohno sums for multiple zeta values
Hideki Murahara
The Ohno relation is a well-known relation among multiple zeta values. Hirose, Onozuka, Sato, and the author investigated the sum related to the Ohno relation and presented two typ…