Cyclic relation for multiple zeta functions

2020/03/18 by Hideki Murahara, Tomokazu Onozuka, Murahara, Hideki +1
Chemistry · Mathematics · #11M32 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Molecular spectroscopy and chirality #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2003.08068

openalex publication_date 2020/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The cyclic relation obtained in a study by Hirose, Murakami, and the first-named author, is a wide class of relations, which includes the well-known cyclic sum formula for multiple zeta and zeta-star values, and the derivation relation for multiple zeta values. In this paper, we present its generalization to complex variables. Our proof includes a new proof of the cyclic relation.

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