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20152023
most citedOn variants of symmetric multiple zeta-star values and the cyclic sum formula

6 citations · 7 across the 7 of their papers we have counts for

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math.NT2023

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'…

math.NT2022

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.…

math.NT2021

-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…

math.NT2021

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.…

math.NT2021

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…

math.NT2020

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…