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math.NT2014
Applications of shuffle product to restricted decomposition formulas for multiple zeta values
Li Guo, Peng Lei, Biao Ma
In this paper we obtain a recursive formula for the shuffle product and apply it to derive two restricted decomposition formulas for multiple zeta values (MZVs). The first formula…
math.NT2012★ 8 cited
Polylogarithms and multiple zeta values from free Rota-Baxter algebras
Li Guo, Bin Zhang
We show that the shuffle algebras for polylogarithms and regularized MZVs in the sense of Ihara, Kaneko and Zagier are both free commutative nonunitary Rota-Baxter algebras with on…
math.NT2006★ 21 cited
Multiple zeta values and Rota--Baxter algebras
Kurusch Ebrahimi-Fard, Li Guo
We study multiple zeta values and their generalizations from the point of view of Rota--Baxter algebras. We obtain a general framework for this purpose and derive relations on mult…