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20172022
most citedCasselman's basis of Iwahori vectors and Kazhdan-Lusztig polynomials

1 citations · 3 across the 5 of their papers we have counts for

collaborators

6 papers

math.NT2022

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…

math.NT2021

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…

math.NT2020

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…

math.NT20201 cited

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…

math.NT20181 cited

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…

math.RT20171 cited

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,…