Taiki Watanabe

activity

20242026

collaborators

3 papers

math.NT2026

A unified proof of conjectures on the spaces of multiple $q$ -zeta values

Minoru Hirose, Takumi Maesaka, Taiki Watanabe

We prove two conjectures on the spaces generated by multiple $q$ -zeta values. More precisely, we show that the spaces $Z_{q}^{o}$ and $Z_{q, 1}^{o}$ already generate…

math.NT2025

The $Z$ -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 $Z$ -linear combination of $ζ (k_{1}, \dots, k_{r})$ where $k_{i} \geq 2$ . Our proof also yields an explicit algorithm for such an expan…

math.NT2024

Deriving two dualities simultaneously from a family of identities for multiple harmonic sums

Takumi Maesaka, Shin-ichiro Seki, Taiki Watanabe

We give a new expression of the multiple harmonic sum, which serves as a refinement of the iterated integral expression of the multiple zeta value, and prove it using the so-called…

A unified proof of conjectures on the spaces of multiple q-zeta values

The Z-module of multiple zeta values is generated by ones for indices without ones

Deriving two dualities simultaneously from a family of identities for multiple harmonic sums

A unified proof of conjectures on the spaces of multiple $q$ -zeta values

The $Z$ -module of multiple zeta values is generated by ones for indices without ones