Polylogarithms and multiple zeta values from free Rota-Baxter algebras

• 出 处: 中国科学：数学英文版
• 发表日期: 2010年9期
• 关键词: multiple ZETA values polylogarithms Rota-Baxter ALGEBRAS multiple zeta valuespol
• 基金项目: support from NSF grant DMS-0505643,support from National Natural Science Foundation of China (Grant Nos.10631050,10911120391/A0109)

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 one generator.We apply these results to show that the full sets of shuffle rel