3 papers
math.QA2026
Notes on Ecalle's and Brown's solutions to the double shuffle relations modulo products
Hidekazu Furusho, Minoru Hirose, Nao Komiyama
We investigate relationships between polar/polynomial solutions to the double shuffle relations modulo products, which were independently introduced by Brown and Ecalle.
math.NT2025
Shuffle product for multiple zeta functions
Nao Komiyama, Takeshi Shinohara
In this paper, we investigate the shuffle product relations for Euler-Zagier multiple zeta functions as functional relations. To this end, we generalize the classical partial fract…
math.QA2023
Associators in mould theory
Hidekazu Furusho, Minoru Hirose, Nao Komiyama
By developing various techniques of mould theory and establishing a quasi-involutive reformulation of Drinfeld's associator set, we introduce $\mathsf{GARI}(\mathscr{F})_{\mathsf{a…