Analogues of cyclic insertion-type identities for multiple zeta star values

Charlton, Steven

doi:10.2206/kyushujm.74.337

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Analogues of cyclic insertion-type identities for multiple zeta star values

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Charlton, Steven
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.2206/kyushujm.74.337
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1806.10053.pdf
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Charlton_Analogues for cyclic insertion-type identities for multiple zeta star values_2020.pdf
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Citation

Charlton, S. (2020). Analogues of cyclic insertion-type identities for multiple zeta star values. Kyushu Journal of Mathematics, 74(2), 337-352. doi:10.2206/kyushujm.74.337.

Cite as: https://hdl.handle.net/21.11116/0000-0008-827D-9

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.