8 citations · 35 across the 37 of their papers we have counts for
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Connectors of the Ohno relation for parametrized multiple zeta series
Hideki Murahara, Tomokazu Onozuka
The Ohno relation is a well known relation in the theory of multiple zeta values. Recently, Seki and Yamamoto introduced a connector method and gave its succinct proof. On the othe…
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…
Algebraic aspects of rooted tree maps
Hideki Murahara, Tatsushi Tanaka
Based on the Connes--Kreimer Hopf algebra of rooted trees, the rooted tree maps are defined as linear maps on noncommutative polynomial algebra in two indeterminates. It is known t…
On a basis for Euler-Zagier double zeta functions with non-positive components
Hideki Murahara, Takashi Nakamura
For a non-negative integer , let , where the right-hand side is the vector space spanned by the Euler-Zagier double z…
On a generalization of the cyclic sum formula for finite multiple zeta and zeta-star values
Hideki Murahara
The cyclic sum formulas for multiple zeta and zeta-star values were respectively proved by Hoffman and Ohno, and Ohno and Wakabayashi. Kawasaki and Oyama obtained an analogous form…
Cyclic relation for multiple zeta functions
Hideki Murahara, Tomokazu Onozuka
The cyclic relation obtained in a study by Hirose, Murakami, and the first-named author, is a wide class of relations, which includes the well-known cyclic sum formula for multiple…
On variants of symmetric multiple zeta-star values and the cyclic sum formula
Minoru Hirose, Hideki Murahara, Masataka Ono
The -adic symmetric multiple zeta values were defined Jarossay, which have been studied as a real analogue of -adic finite multiple zeta values. In this paper, w…
On the -points of symmetric sum of multiple zeta function
Hideki Murahara, Tomokazu Onozuka
In this paper, we present some results on the -points of the symmetric sum of the Euler-Zagier multiple zeta function. Our first three results are for the -points free region…