9 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…
-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…
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…
Generating functions for Ohno type sums of finite and symmetric multiple zeta-star values
Minoru Hirose, Hideki Murahara, Shingo Saito
Ohno's relation states that a certain sum, which we call an Ohno type sum, of multiple zeta values remains unchanged if we replace the base index by its dual index. In view of Oyam…
Analogues of the Aoki-Ohno and Le-Murakami relations for finite multiple zeta values
Masanobu Kaneko, Kojiro Oyama, Shingo Saito
We establish finite analogues of the identities known as the Aoki-Ohno relation and the Le-Murakami relation in the theory of multiple zeta values. We use an explicit form of a gen…