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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…
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…
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…