10 citations · 41 across the 23 of their papers we have counts for
24 papers
Two formulas for certain double and multiple polylogarithms in two variables
Masanobu Kaneko, Hirofumi Tsumura
We give a weighted sum formula for the double polylogarithm in two variables, from which we can recover the classical weighted sum formulas for double zeta values, double -value…
Parametric Apéry-type Series and Hurwitz-type Multiple Zeta Values
Masanobu Kaneko, Weiping Wang, Ce Xu +1
In this paper, we extend the main results of a 2024 \emph{Advances in Applied Mathematics} paper \cite{XuZhao2021c} about Apéry-type series involving central binomial coefficients…
Multiple -values of level four, poly-Euler numbers, and related zeta functions
Masanobu Kaneko, Hirofumi Tsumura
We present several formulas for some specific multiple -values of conductor four. This grew out from the study of zeta functions of level four of Arakawa-Kaneko type. Closely re…
On finite multiple zeta values of level two
Masanobu Kaneko, Takuya Murakami, Amane Yoshihara
We introduce and study a ``level two'' analogue of finite multiple zeta values. We give conjectural bases of the space of finite Euler sums as well as that of usual finite multiple…
A generalized regularization theorem and Kawashima's relation for multiple zeta values
Masanobu Kaneko, Ce Xu, Shuji Yamamoto
Kawashima's relation is conjecturally one of the largest classes of relations among multiple zeta values. Gaku Kawashima introduced and studied a certain Newton series, which we ca…
Elliptic normal curves of even degree and theta functions
Masanobu Kaneko, Masato Kuwata
An elliptic curve may be immersed in as a degree curve using level structure. In the case where is odd, there are well known classical results dati…