Restricted sum formula and derivation relation for multiple zeta values

2013/03/02 by Tatsushi Tanaka, Tanaka, Tatsushi
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1303.0398

openalex publication_date 2013/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Two classes of relations for multiple zeta values are handled algebraically. A restricted sum formula is proved by Eie, Liaw and Ong. The derivation relation is proved by Ihara, Kaneko and Zagier. In this paper we show the latter implies the former.

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