Shuffle product formulas of multiple zeta values

2016/03/18 by Zhonghua Li, Chen Qin, Li, Zhonghua +1
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1603.05786

openalex publication_date 2016/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the combinatorial description of shuffle product, we prove or reformulate several shuffle product formulas of multiple zeta values, including a general formula of the shuffle product of two multiple zeta values, some restricted shuffle product formulas of the product of two multiple zeta values, and a restricted shuffle product formula of the product of n multiple zeta values.

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