6 citations · 6 across the 9 of their papers we have counts for
16 papers · 1 filter
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…
-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.…
Generating functions for sums of polynomial multiple zeta values
Minoru Hirose, Hideki Murahara, Shingo Saito
The sum formulas for multiple zeta(-star) values and symmetric multiple zeta(-star) values bear a striking resemblance. We explain the resemblance in a rather straightforward manne…
The connector for Double Ohno relation
Minoru Hirose, Nobuo Sato, Shin-ichiro Seki
In this paper, we introduce a new connector which generalizes the connector found by the third author and Yamamoto. The new connector gives a direct proof of the double Ohno relati…