Cyclic relation for multiple zeta functions

Hideki Murahara, Tomokazu Onozuka

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number64
JournalResearch in Number Theory
Issue number3
Publication statusPublished - Sept 2022

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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