35 citations · 51 across the 19 of their papers we have counts for
19 papers
Explicit formula for multi-indexed poly-Bernoulli numbers
Tomoko Kikuchi, Maki Nakasuji
The classical Bernoulli numbers can be expressed using Stirling numbers of the second kind, and M. Kaneko extended this framework by defining poly-Bernoulli numbers ${\mathbb…
-Kloosterman sum via the Bruhat decomposition
Suzuho Osonoe, Maki Nakasuji
We define the Kloosterman sum for over the Kloosterman set via the Bruhat decomposition and stratify the Kloosterman set using the reduced word decomposition of the Weyl gro…
New determinant formulas of Giambelli-type for Schur multiple zeta-functions and their applications
Kohji Matsumoto, Maki Nakasuji
In this article, we will prove the Giambelli formula for Schur multiple zeta-functions of extended shape which we call laced type, using the combinatorial method of proving the Gia…
Schur multiple zeta-functions of Hurwitz type
Kohji Matsumoto, Maki Nakasuji
We study the Hurwitz-type analogue of Schur multiple zeta-functions involving shifting parameters. We extend various formulas, known for ordinary Schur multiple zeta-functions, to…
Expressions of content-parametrized Schur multiple zeta-functions via the Giambelli formula
Kohji Matsumoto, Maki Nakasuji
In this article, we consider the expressions for content-parametrized Schur multiple zeta-functions in terms of multiple zeta-functions of Euler-Zagier type and their star-variants…
Multi-indexed poly-Bernoulli numbers
Yuna Baba, Maki Nakasuji, Mika Sakata
As properties of poly-Bernoulli numbers, a number of formulas such as the duality formula, explicit formula using the Stirling numbers of the second kind and periodicity for negati…
Symmetric Schur multiple zeta functions
Maki Nakasuji, Wataru Takeda
We introduce the multiple zeta functions with structures similar to those of symmetric functions such as Schur -, Schur -, symplectic and orthogonal functions in the represen…
An interpolation of the generalized duality formula for the Schur multiple zeta values to complex functions
Maki Nakasuji, Yasuo Ohno, Wataru Takeda
One of the important research subjects in the study of multiple zeta functions is to clarify the linear relations and functional equations among them. The Schur multiple zeta funct…
Shuffle product formula of the Schur multiple zeta values of hook type
Maki Nakasuji, Wataru Takeda
We discuss the shuffle product of the Schur multiple zeta values, which are the special values of Schur multiple zeta functions. We first define -labeled Schur posets to general…
Duality formula and its generalization for Schur multiple zeta functions
Maki Nakasuji, Yasuo Ohno
In the study on multiple zeta values, the duality formula is one of the families of basic relations and plays an important role in the investigation of algebraic structure of the s…
The Pieri formulas for hook type Schur multiple zeta functions
Maki Nakasuji, Wataru Takeda
We study the Pieri type formulas for the Schur multiple zeta functions along with those for the Schur polynomials. To formulate these formulas, we introduce a new insertion rule fo…
Expressions of Schur multiple zeta-functions of anti-hook type by zeta-functions of root systems
Kohji Matsumoto, Maki Nakasuji
We investigate relations among Schur multiple zeta functions and zeta-functions of root systems attached to semisimple Lie algebras. Schur multiple zeta functions are defined as su…
Parametrization of Kloosterman sets and -Kloosterman sums
Eren Mehmet Kıral, Maki Nakasuji
We stratify the big cell Kloosterman sets using the reduced word decomposition of the Weyl group element, inspired by the Bott-Samelson factorization. Thus the $\ma…
Schur type poly-Bernoulli numbers
Naoki Nakamura, Maki Nakasuji
The poly-Bernoulli numbers and its relative are defined by the generating series using the polylogarithm series, and we call them type and , respectively. As a generalizatio…
Casselman's basis of Iwahori vectors and Kazhdan-Lusztig polynomials
Daniel Bump, Maki Nakasuji
A problem in representation theory of -adic groups is the computation of the \textit{Casselman basis} of Iwahori fixed vectors in the spherical principal series representations,…
On Schur multiple zeta functions: A combinatoric generalization of multiple zeta functions
Maki Nakasuji, Ouamporn Phuksuwan, Yoshinori Yamasaki
We introduce Schur multiple zeta functions which interpolate both the multiple zeta and multiple zeta-star functions of the Euler-Zagier type combinatorially. We first study their…
Yang-Baxter basis of Hecke algebra and Casselman's problem (extended abstract)
Maki Nakasuji, Hiroshi Naruse
We generalize the definition of Yang-Baxter basis of type Hecke algebra introduced by A.Lascoux, B.Leclerc and J.Y.Thibon (Letters in Math. Phys., 40 (1997), 75--90) to all the…
Factorial Schur functions and the Yang-Baxter equation
Daniel Bump, Peter J. McNamara, Maki Nakasuji
Factorial Schur functions are generalizations of Schur functions that have, in addition to the usual variables, a second family of "shift" parameters. We show that a factorial Schu…
Casselman's basis of Iwahori vectors and the Bruhat order
Daniel Bump, Maki Nakasuji
The Casselman basis of Iwahori fixed vectors in a principal series representation of a p-adic group G is dual to the standard intertwining operators. To compute it one must compute…