1 citations · 1 across the 7 of their papers we have counts for
8 papers
Shuffle product of desingularized multiple zeta functions at integer points
Nao Komiyama, Takeshi Shinohara
In this paper, we investigate the ``shuffle-type'' formula for special values of desingularized multiple zeta functions at integer points. It is proved by giving an iterated integr…
Notes on Kashiwara-Vergne and double shuffle Lie algebras
Hidekazu Furusho, Nao Komiyama
We explain the current situation of the relationship between the Kashiwara-Vergne Lie algebra and the double shuffle Lie algebra . We also show the…
On properties of adari(pal) and ganit(pic)
Nao Komiyama
The paper discusses properties of adari(pal) and ganit(pic) which are Ecalle's maps among certain sets of moulds related to the double shuffle relations of MZVs. We give self-conta…
Relationship between renormalized values of shuffle type and of harmonic type of multiple zeta functions
Nao Komiyama
In this paper, we settle the problem posed by Singer which is on a comparison problem between the renormalized values of shuffle type and of harmonic type of multiple zeta function…
Kashiwara-Vergne and dihedral bigraded Lie algebras in mould theory
Hidekazu Furusho, Nao Komiyama
We introduce the Kashiwara-Vergne bigraded Lie algebra associated with a finite abelian group and give its mould theoretic reformulation. By using the mould theory, we show that it…
On shuffle-type functional relations of desingularized multiple zeta-functions
Nao Komiyama
We treat desingularized multiple zeta-functions introduced by Furusho, Komori, Matsumoto and Tsumura. In this paper, we prove functional relations, which are shuffle type product f…
Shuffle-type product formulae of desingularized values of multiple zeta-functions
Nao Komiyama
It is known that there are infinitely many singularities of multiple zeta functions and the special values at non-positive integer points are indeterminate. In order to give a suit…
An equivalence between desingularized and renormalized values of multiple zeta functions at negative integers
Nao Komiyama
It is known that the special values of multiple zeta functions at non-positive arguments are indeterminate in most cases due to the occurrences of infinitely many singularities. In…