8 citations · 8 across the 4 of their papers we have counts for
4 papers
Multiple zeta values and Euler's reflection formula for the gamma function
Karin Ikeda, Mika Sakata
In this paper, we give a purely algebraic proof of an identity coming directly from Euler's reflection formula for the gamma function. Our proof uses Hoffman's harmonic algebra and…
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…
On multiple zeta values and finite multiple zeta values of maximal height
Hideki Murahara, Mika Sakata
An explicit formula for the height-one multiple zeta values was proved by Kaneko and the second author. We give an alternative proof of this result and its generalization. We also…
On multiple zeta values of extremal height
Masanobu Kaneko, Mika Sakata
We give three identities involving multiple zeta values of height one and of maximal height; an explicit formula for the height-one multiple zeta values, a regularized sum formula,…