Minoru Hirose

activity

20242026

collaborators

4 papers

math.NT2026

Conjectural duality for iterated $q$ -integrals on $P^{1}$ minus four generic points

Minoru Hirose

We propose a conjectural $q$ -analogue of the classical duality for iterated integrals on $P^{1}$ minus four points, arising from the involutive Möbius transformation which…

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

Mixed Tate motives and cyclotomic multiple zeta values of level $2^{n}$ or $3^{n}$

Minoru Hirose

Let $N$ be a power of $2$ or $3$ , and $μ_{N}$ the set of $N$ -th roots of unity. We show that the ring of motivic periods of Mixed Tate motives over $Z [μ_{N}, \frac{1}{N}]$ …

math.NT2024

A discretization of the iterated integral expression of the multiple polylogarithm

Minoru Hirose, Toshiki Matsusaka, Shin-ichiro Seki

Recently, Maesaka, Watanabe, and the third author discovered a phenomenon where the iterated integral expressions of multiple zeta values become discretized. In this paper, we exte…

Conjectural duality for iterated q-integrals on P1 minus four generic points

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

Mixed Tate motives and cyclotomic multiple zeta values of level 2n or 3n

A discretization of the iterated integral expression of the multiple polylogarithm

Conjectural duality for iterated $q$ -integrals on $P^{1}$ minus four generic points

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

Mixed Tate motives and cyclotomic multiple zeta values of level $2^{n}$ or $3^{n}$