Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Ono, Masataka"'
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's identity for the generalized hypergeometric function ${}_{5}F_{4}$.
Externí odkaz:
http://arxiv.org/abs/2303.15644
Autor:
Ono, Masataka, Yamamoto, Shuji
The refined Kaneko-Zagier conjecture claims that the algebras spanned by two kinds of "completed" finite multiple zeta values, called $\hat{A}$- and $\hat{S}$-MZVs, are isomorphic. Recently, Komori defined $\hat{S}$-MZVs of general integer (i.e., not
Externí odkaz:
http://arxiv.org/abs/2202.06789
Autor:
Ono, Masataka
Bachmann, Takeyama and Tasaka introduced a $\mathbb{Q}$-linear map $\phi$, which we call the symmetrization map in this paper, on the harmonic algebra $\mathfrak{H}^1$. They calculated $\phi(w)$ explicitly for an element $w$ in $\mathfrak{H}^1$ relat
Externí odkaz:
http://arxiv.org/abs/2106.03682
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 Kaneko--Zagier conjecture for all integer points.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
http://arxiv.org/abs/2104.14794
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. Moreover, these relations give the sum formula for interpolated multi
Externí odkaz:
http://arxiv.org/abs/2103.14851
For several evaluations of special values and several relations known only in $\mathcal{A}_n$-multiple zeta values or $\mathcal{S}_n$-multiple zeta values, we prove that they are uniformly valid in $\mathcal{F}_n$-multiple zeta values for both the ca
Externí odkaz:
http://arxiv.org/abs/2103.03470
We study a refinement of the symmetric multiple zeta value, called the $t$-adic symmetric multiple zeta value, by considering its finite truncation. More precisely, two kinds of regularizations (harmonic and shuffle) give two kinds of the $t$-adic sy
Externí odkaz:
http://arxiv.org/abs/2009.04112
The $t$-adic symmetric multiple zeta values were defined Jarossay, which have been studied as a real analogue of $\boldsymbol{p}$-adic finite multiple zeta values. In this paper, we consider the star analogues based on several regularization processe
Externí odkaz:
http://arxiv.org/abs/2001.03832
Autor:
Murahara, Hideki, Ono, Masataka
We study a polynomial interpolation of finite multiple zeta and zeta-star values with variable $t$, which is an analogue of interpolated multiple zeta values introduced by Yamamoto. We introduce several relations among them and, in particular, prove
Externí odkaz:
http://arxiv.org/abs/1908.09307
Autor:
Ono, Masataka, Watari, Satomi, Nishizawa-Higashi, Mizuho, Konishi, Tatsuya, Takahashi, Yoshinori, Saeki, Hiroki, Joe, Ga-Hyun
Publikováno v:
In Food Chemistry: Molecular Sciences 30 July 2023 6
