4 papers
Isomorphism between Hopf algebras for multiple zeta values
Li Guo, Hongyu Xiang, Bin Zhang
The classical quasi-shuffle algebra for multiple zeta values have a well-known Hopf algebra structure. Recently, the shuffle algebra for multiple zeta values are also equipped with…
A Riemann-type duality of shuffle Hopf algebras related to multiple zeta values
Li Guo, Hongyu Xiang, Bin Zhang
This paper offers a Hopf algebraic interpretation of a functional equation of multiple zeta functions, motivated by the classical symmetry of the Riemann zeta function. Starting fr…
Extended Shuffle Product for Multiple Zeta Values
Li Guo, Wenchuan Hu, Hongyu Xiang +1
The shuffle algebra on positive integers encodes the usual multiple zeta values (MZVs) (with positive arguments) thanks to the representations of MZVs by iterated Chen integrals of…
Hopf algebras for the shuffle algebra and fractions from multiple zeta values
Li Guo, Wenchuan Hu, Hongyu Xiang +1
The algebra of multiple zeta values (MZVs) is encoded as a stuffle (quasi-shuffle) algebra and a shuffle algebra. The MZV stuffle algebra has a natural Hopf algebra structure. This…