10 citations · 10 across the 3 of their papers we have counts for
8 papers
On poly-cosecant numbers
Masanobu Kaneko, Maneka Pallewatta, Hirofumi Tsumura
We introduce and study a `level two' generalization of the poly-Bernoulli numbers, which may also be regarded as a generalization of the cosecant numbers. We prove a recurrence rel…
On a variant of multiple zeta values of level two
Masanobu Kaneko, Hirofumi Tsumura
We study a variant of multiple zeta values of level 2, which forms a subspace of the space of alternating multiple zeta values. This variant, which is regarded as the `shuffle coun…
Zeta functions connecting multiple zeta values and poly-Bernoulli numbers
Masanobu Kaneko, Hirofumi Tsumura
We first review our previous works of Arakawa and the authors on two, closely related single-variable zeta functions. Their special values at positive and negative integer argument…
An overview and supplements to the theory of functional relations for zeta-functions of root systems
Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura
We give an overview of the theory of functional relations for zeta-functions of root systems, and show some new results on functional relations involving zeta-functions of root sys…
Zeta-functions of root systems and Poincaré polynomials of Weyl groups
Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura
We consider a certain linear combination of zeta-functions of root systems, where is a root system of rank and . Sh…
On a duality formula for certain sums of values of poly-Bernoulli polynomials and its application
Masanobu Kaneko, Fumi Sakurai, Hirofumi Tsumura
We prove a duality formula for certain sums of values of poly-Bernoulli polynomials which generalizes dualities for poly-Bernoulli numbers. We first compute two types of generating…