Zobrazeno 1 - 10
of 1 437
pro vyhledávání: '"Hirose , Minoru"'
Recently, Maesaka, Watanabe, and the third author discovered a phenomenon where the iterated integral expressions of multiple zeta values become discretized. In this paper, we extend their result to the case of multiple polylogarithms and provide two
Externí odkaz:
http://arxiv.org/abs/2404.15210
Autor:
Hirose, Minoru, Saito, Shingo
It is known that the set of all nonnegative integers may be equipped with a total order that is chaotic in the sense that there is no monotone three-term arithmetic progressions. Such chaotic order must be so complicated that the resulting ordered se
Externí odkaz:
http://arxiv.org/abs/2404.13510
Autor:
Hirose, Minoru
We give an explicit formula for the well-known parity result for multiple zeta values as an application of the multitangent functions.
Externí odkaz:
http://arxiv.org/abs/2403.14604
Autor:
Hirose, Minoru
In this paper, we give a formula that connects two variants of multiple zeta values; multitangent functions and symmetric multiple zeta values. As an application of this formula, we give two results. First, we prove Bouillot's conjecture on the struc
Externí odkaz:
http://arxiv.org/abs/2402.13902
By developing various techniques of mould theory, we introduce $\mathsf{GARI}(\mathscr{F})_{\mathsf{as}+\mathsf{bal}}$, a mould theoretic formulation of Drinfeld's associator set. We give a mould-theoretical generalization of the result that associat
Externí odkaz:
http://arxiv.org/abs/2312.15423
Autor:
Hirose, Minoru, Kawamura, Hanamichi
The $t$-adic symmetric multiple zeta value is a generalization of the symmetric multiple zeta value from the perspective of the Kaneko-Zagier conjecture. In this paper, we introduce a further generalization with a new parameter $s$, which we call the
Externí odkaz:
http://arxiv.org/abs/2311.00473
In this paper, we consider infinite-length versions of multiple zeta-star values. We give several explicit formulas for the infinite-length versions of multiple zeta-star values. We also discuss the analytic properties of the map from indices to the
Externí odkaz:
http://arxiv.org/abs/2309.09201
In this paper, we investigate an asymptotic behavior of the double zeta function of Euler-Zagier type for indices with large negative real parts.
Externí odkaz:
http://arxiv.org/abs/2303.04650
Autor:
Hirose, Minoru
We show that the level 2 case of the cyclotomic Grothendieck-Teichm\"{u}ller groups introduced by Enriquez coincides with the motivic Galois group of mixed Tate motives over $\mathbb{Z}[1/2]$.
Externí odkaz:
http://arxiv.org/abs/2301.04064
We define the interpolated polynomial multiple zeta values as a generalization of all of multiple zeta values, multiple zeta-star values, interpolated multiple zeta values, symmetric multiple zeta values, and polynomial multiple zeta values. We then
Externí odkaz:
http://arxiv.org/abs/2211.00265