6 citations · 14 across the 12 of their papers we have counts for
13 papers
A generating function identity for finite and symmetric multiple zeta values via Dougall's bilateral summation
Takumi Maesaka, Masataka Ono
We establish a generating function identity for finite and symmetric multiple zeta values using Dougall's bilateral summation formula. As an application, we prove a restr…
Weighted sum formula for variants of half multiple zeta values
Hanamichi Kawamura, Takumi Maesaka, Masataka Ono
We prove some weighted sum formulas for half multiple zeta values, half finite multiple zeta values, and half symmetric multiple zeta values. The key point of our proof is Dougall'…
On the refined Kaneko-Zagier conjecture for general integer indices
Masataka Ono, Shuji Yamamoto
The refined Kaneko-Zagier conjecture claims that the algebras spanned by two kinds of "completed" finite multiple zeta values, called - and -MZVs, are isomorphic.…
-adic symmetrization map on harmonic algebra
Masataka Ono
Bachmann, Takeyama and Tasaka introduced a -linear map , which we call the symmetrization map in this paper, on the harmonic algebra . They calculate…
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.…
On a unified double zeta function of Mordell--Tornheim type
Shin-ya Kadota, Takuya Okamoto, Masataka Ono +1
We introduce the unified double zeta function of Mordell--Tornheim type and compute its values at non-positive integer points. We then discuss a possible generalization of the Kane…
A note on -multiple zeta values
Masataka Ono, Kosuke Sakurada, Shin-ichiro Seki
For several evaluations of special values and several relations known only in -multiple zeta values or -multiple zeta values, we prove that they are u…
Truncated -adic symmetric multiple zeta values and double shuffle relations
Masataka Ono, Shin-ichiro Seki, Shuji Yamamoto
We study a refinement of the symmetric multiple zeta value, called the -adic symmetric multiple zeta value, by considering its finite truncation. More precisely, two kinds of re…
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…
Yamamoto's interpolation of finite multiple zeta and zeta-star values
Hideki Murahara, Masataka Ono
We study a polynomial interpolation of finite multiple zeta and zeta-star values with variable , which is an analogue of interpolated multiple zeta values introduced by Yamamoto…
New functional equations of finite multiple polylogarithms
Masataka Ono
We give a finite analogue of the well-known formula of multiple polylogarithms for any positive inte…
Finite multiple zeta values associated with 2-colored rooted trees
Masataka Ono
We define finite multiple zeta values (FMZVs) associated with some combinatorial objects, which we call 2-colored rooted trees, and prove that FMZVs associated with 2-colored roote…
Shuffle product of finite multiple polylogarithms
Masataka Ono, Shuji Yamamoto
In this paper, we define a finite sum analogue of multiple polylogarithms inspired by the work of Kaneko and Zaiger and prove that they satisfy a certain analogue of the shuffle re…