75 citations · 106 across the 29 of their papers we have counts for
38 papers
Iterated cotangent-difference integrals over totally real cyclotomic fields
Jin Cao, Hidekazu Furusho
We study iterated cotangent integrals with cyclotomic shifts and express their values along specified reference paths in terms of cyclotomic multiple zeta values. Differences of co…
A stabilizer interpretation of the Grothendieck-Teichmüller group
Benjamin Enriquez, Hidekazu Furusho
If and are Lie algebras, then the product of their outer automorphism groups naturally acts…
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.
-adic multiple zeta values and binomial multiple harmonic sums
Hidekazu Furusho, David Jarossay
We present a concise method for deriving an explicit formula for -adic multiple zeta values. The formula features a variant of multiple harmonic sums, termed binomial multiple h…
Double shuffle Lie algebra and special derivations
Benjamin Enriquez, Hidekazu Furusho
Racinet's double shuffle Lie algebra is a Lie subalgebra of the Lie algebra of tangential derivations of the free Lie algebra with generators $…
An alternative -form of the cyclotomic double shuffle Lie algebra
Hidekazu Furusho, Khalef Yaddaden
We present an alternative -form for Racinet's cyclotomic double shuffle Lie algebra, inspired by the double shuffle relations among congruent multiple zeta values studi…