Multiple zeta values and Rota--Baxter algebras

Abstract

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 multiple zeta values from relations in Rota--Baxter algebras.

References in corpus (2)

• Loday-type Algebras and the Rota-Baxter Relation
• On Products and Duality of Binary, Quadratic, Regular Operads

Cited by in corpus (12)

• Mixable Shuffles, Quasi-shuffles and Hopf Algebras
• Rota-Baxter Algebras in Renormalization of Perturbative Quantum Field Theory
• Renormalization of multiple zeta values
• Renormalization of Multiple $q$-Zeta Values
• Generalized shuffles related to Nijenhuis and TD-algebras
• Rota-Baxter bisystems and covariant bialgebras
• Differential Birkhoff decomposition and the renormalization of multiple zeta values
• Rota-Baxter Coalgebras
• An identity in Rota-Baxter algebras
• Gröbner-Shirshov bases for Rota-Baxter algebras
• Rota-Baxter operators and Bernoulli polynomials
• Rota-Baxter coalgebras and Rota-Baxter bialgebras