Analogues of cyclic insertion type identities for multiple zeta star values

TL;DR

This paper proves a new identity for multiple zeta star values that generalizes existing identities, linking block decomposition with Zhao's 2-1 formula and extending cyclic insertion identities.

Contribution

It introduces a novel identity for multiple zeta star values that broadens the understanding of their structure and connections to existing formulas.

Findings

Established a generalized identity for multiple zeta star values

Connected block decomposition with Zhao's 2-1 formula

Extended cyclic insertion type identities

Abstract

We prove an identity for multiple zeta star values, which generalises some identities due to Imatomi, Tanaka, Tasaka and Wakabayashi. This identity gives an analogue of cyclic insertion type identities, for multiple zeta star values, and connects the block decomposition with Zhao's generalised 2-1 formula.