Zobrazeno 1 - 10
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pro vyhledávání: '"Yamamoto, Shuji"'
We introduce an analytic function $\Psi(s_1,\ldots,s_r;w)$ that interpolates truncated multiple zeta functions $\zeta_N(s_1,\ldots,s_r)$. We represent this interpolant as a Mellin transform of a function $G(q_1,\ldots,q_r;w)$ and, using this expressi
Externí odkaz:
http://arxiv.org/abs/2407.20509
Autor:
Yamamoto, Shuji
Recently, Maesaka, Seki and Watanabe discovered a surprising equality between multiple harmonic sums and certain Riemann sums which approximate the iterated integral expression of the multiple zeta values. In this paper, we describe the formula corre
Externí odkaz:
http://arxiv.org/abs/2403.03498
In this paper, we study sum formulas for Schur multiple zeta values and give a generalization of the sum formulas for multiple zeta(-star) values. We show that for ribbons of certain types, the sum over all admissible Young tableaux of this shape eva
Externí odkaz:
http://arxiv.org/abs/2302.03187
In this paper, we develop an explicit method to express finite algebraic numbers (in particular, certain idempotents among them) in terms of linear recurrent sequences, and give applications to the characterization of the splitting primes in a given
Externí odkaz:
http://arxiv.org/abs/2208.11381
The Hodge Realization of the Polylogarithm and the Shintani Generating Class for Totally Real Fields
Autor:
Bannai, Kenichi, Bekki, Hohto, Hagihara, Kei, Ohshita, Tatsuya, Yamada, Kazuki, Yamamoto, Shuji
Publikováno v:
Advances in Mathematics 448 (2024) 109716
In this article, we construct the Hodge realization of the polylogarithm class in the equivariant Deligne-Beilinson cohomology of a certain algebraic torus associated to a totally real field. We then prove that the de Rham realization of this polylog
Externí odkaz:
http://arxiv.org/abs/2207.03285
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
The Hodge realization of the polylogarithm and the Shintani generating class for totally real fields
Autor:
Bannai, Kenichi, Bekki, Hohto, Hagihara, Kei, Ohshita, Tatsuya, Yamada, Kazuki, Yamamoto, Shuji
Publikováno v:
In Advances in Mathematics June 2024 448
Publikováno v:
In Journal of Number Theory October 2024 263:335-365
Kawashima's relation is conjecturally one of the largest classes of relations among multiple zeta values. Gaku Kawashima introduced and studied a certain Newton series, which we call the Kawashima function, and deduced his relation by establishing se
Externí odkaz:
http://arxiv.org/abs/2011.14338
Autor:
Yamamoto, Shuji
The duality relation of one-variable multiple polylogarithms was proved by Hirose, Iwaki, Sato and Tasaka by means of iterated integrals. In this paper, we give a new proof using the method of connected sums, which was recently invented by Seki and t
Externí odkaz:
http://arxiv.org/abs/2010.05505