5 papers
A double-sum analogue of Whipple's summation formula and a restricted sum formula for multiple binomial sums
Takumi Maesaka
We prove a double-sum analogue of Whipple's summation formula. As an application, we establish a restricted sum formula for multiple binomial sums, which arise as special…
An analogue of Hirose's relation for finite multiple harmonic -series at roots of unity
Takumi Maesaka
Recently, Hirose proved an analogue of the linear part of Kawashima's relations for refined symmetric multiple zeta values. In this paper, we establish an analogue of Hirose's rela…
Relations and Derivatives of Multiple Eisenstein Series
Henrik Bachmann, Hayato Kanno, Takumi Maesaka
In this paper, we study multiple Eisenstein series, which build a natural bridge between the theory of multiple zeta values and modular forms. We prove a large family of relations…
A unified proof of conjectures on the spaces of multiple -zeta values
Minoru Hirose, Takumi Maesaka, Taiki Watanabe
We prove two conjectures on the spaces generated by multiple -zeta values. More precisely, we show that the spaces and already generate…
The -module of multiple zeta values is generated by ones for indices without ones
Minoru Hirose, Takumi Maesaka, Shin-ichiro Seki +1
We prove that every multiple zeta value is a -linear combination of where . Our proof also yields an explicit algorithm for such an expa…