Derivation relations and duality for the sum of multiple zeta values

2017/04/22 by Zhonghua Li, Li, Zhonghua
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1704.06800

openalex publication_date 2017/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the duality relation for the sum of multiple zeta values with fixed weight, depth and k₁ is deduced from the derivation relations, which was first conjectured by N. Kawasaki and T. Tanaka.

Related

• On the duality and the derivation relations for multiple zeta values
• Derivation relations for finite multiple zeta values
• A note on derivation relations for multiple zeta values and finite multiple zeta values
• A Note on Finite Real Multiple Zeta Values
• Duality theorems of multiple zeta values with parameters