5 papers
Regularised double shuffle relations for planar Arborified Zeta Values
Pierre Catoire, Pierre J. Clavier, Ku-Yu Fan
We endow spaces of decorated planar rooted trees with new dendriform and tridendrifrom algebra structures and provide their combinatorial description. We then show that the planar…
-adic multiple -functions and twisted multiple Bernoulli numbers
Ku-Yu Fan
We compute the special values (MLFVs) of the -adic multiple -functions introduced by Furusho, Komori, Matsumoto, and Tsumura at tuples of positive integers. Furusho and Ja…
-adic multiple zeta values of integer indices
Ku-Yu Fan
This paper concerns the -adic multiple zeta values of integer indices that may contain zero or negative components. We introduce the admissibility and regularizability condition…
A map between arborifications of multiple zeta values
Ku-Yu Fan
Arborified multiple zeta values are a generalization of multiple zeta values associated with rooted trees. There are two types of decorated rooted trees, corresponding respectively…
Coproduct Formula for Motivic Version of Yamamoto's Integral
Ku-Yu Fan
Goncharov proved an explicit formula for the coproduct in the Hopf algebra of motivic iterated integrals. Yamamoto introduced Yamamoto's integral which generalizes iterated integra…