Minoru Hirose

collaborators

2 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 MÃ¶bius transformation whic…

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 $I^¶ (k_{1}, \dots, k_{r})$ where $k_{i} \geq 2$ . Our proof also yields an explicit algorithm for such an expa…

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

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