9 papers
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…
Analytic properties of Ohno function
Ken Kamano, Tomokazu Onozuka
Ohno's relation is a well-known relation on the field of the multiple zeta values and has an interpolation to complex function. In this paper, we call its complex function Ohno fun…
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…
Linear relations of Ohno sums of multiple zeta values
Minoru Hirose, Hideki Murahara, Tomokazu Onozuka +1
Ohno's relation is a well-known family of relations among multiple zeta values, which can naturally be regarded as a type of duality for a certain power series which we call an Ohn…
Zeros of a polynomial of
Tomokazu Onozuka
We give results on zeros of a polynomial of . First, we give a zero free region and prove that there exist zeros corresponding to the trivial zeros of…
Bowman-Bradley type theorem for finite multiple zeta values in
Hideki Murahara, Tomokazu Onozuka, Shin-ichiro Seki
Bowman and Bradley obtained a remarkable formula among multiple zeta values. The formula states that the sum of multiple zeta values for indices which consist of the shuffle of two…