Block shuffle identities for multiple zeta values

Minoru Hirose; Nobuo Sato

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arXiv · 2206.03458

Block shuffle identities for multiple zeta values

Minoru Hirose·Nobuo Sato

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Abstract

In 1998, Borwein, Bradley, Broadhurst and Lison\v{e}k 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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Minoru Hirose, Nobuo Sato. 2022-06-07. Block shuffle identities for multiple zeta values. https://arxiv.org/abs/2206.03458

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