Block shuffle identities for multiple zeta values

2022/06/07 by M. Hirose, N. Sato, Hirose, Minoru +1 · 1 citation
Mathematics · #11M32 (Primary) 33E20 (Secondary ) #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2206.03458

openalex publication_date 2022/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In 1998, Borwein, Bradley, Broadhurst and Lisoněk posed two families of conjectural identities among multiple zeta values, later generalized by Charlton using his alternating block notation. In this paper, we prove a new class of identities among multiple zeta values that simultaneously resolve and generalize these conjectures.

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• Diamond lift of Hirose--Sato's formula involving the Hoffman basis

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