4 citations · 10 across the 11 of their papers we have counts for
11 papers
Critical curve of two-matrix models , and , Part I: Monte Carlo
Carlos I. Pérez Sánchez
For a family of two-matrix models \[ \frac{1}{2} \operatorname{Tr}(A^2+B^2) - \frac{g}{4} \operatorname{Tr}(A^4+B^4) - \begin{cases} \frac{h}{2} \operatorname{Tr}( A BA B) \\ \frac…
Block shuffle identities for multiple zeta values
Minoru Hirose, Nobuo Sato
In 1998, Borwein, Bradley, Broadhurst and Lisoněk posed two families of conjectural identities among multiple zeta values, later generalized by Charlton using his alternating block…
The motivic Galois group of mixed Tate motives over and its action on the fundamental group of
Minoru Hirose, Nobuo Sato
In this paper we introduce confluence relations for motivic Euler sums (also called alternating multiple zeta values) and show that all linear relations among motivic Euler sums ar…
The connector for Double Ohno relation
Minoru Hirose, Nobuo Sato, Shin-ichiro Seki
In this paper, we introduce a new connector which generalizes the connector found by the third author and Yamamoto. The new connector gives a direct proof of the double Ohno relati…
Linear relations of Ohno sums of multiple zeta values
Minoru Hirose, Hideki Murahara, Tomokazu Onozuka +1
Ohno's relation is a well-known family of relations among multiple zeta values, which can naturally be regarded as a type of duality for a certain power series which we call an Ohn…
Iterated integrals on and a class of relations among multiple zeta values
Minoru Hirose, Nobuo Sato
In this paper we consider iterated integrals on and define a class of -linear relations among them, which arises from the diff…
Algebraic differential formulas for the shuffle, stuffle and duality relations of iterated integrals
Minoru Hirose, Nobuo Sato
In this paper we prove certain algebraic identities, which correspond to differentiations of the shuffle relation, the stuffle relation, and the relations which arise from Möbius t…
On Hoffman's conjectural identity
Minoru Hirose, Nobuo Sato
In this paper, we shall prove the equality \[ ζ(3,\{2\}^{n},1,2)=ζ(\{2\}^{n+3})+2ζ(3,3,\{2\}^{n}) \] conjectured by Hoffman using certain identities among iterated integrals on $\m…
Duality/Sum formulas for iterated integrals and their application to multiple zeta values
Minoru Hirose, Kohei Iwaki, Nobuo Sato +1
We investigate linear relations among a class of iterated integrals on the Riemann sphere minus four points and . Generalization of the duality formula and the sum…
Eisenstein series identities based on partial fraction decomposition
Minoru Hirose, Nobuo Sato, Koji Tasaka
From the theory of modular forms, there are exactly linear relations among the Eisenstein series and its products . We present…
On the functional equation of the normalized Shintani l-function of several variables
Minoru Hirose, Nobuo Sato
In this paper, we introduce the normalized Shintani L-function of several variables by an integral representation and prove its functional equation. The Shintani L-function is a ge…