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Block shuffle identities for multiple zeta values

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arxiv 2206.03458 v1 pith:YQWLFMCK submitted 2022-06-07 math.NT

classification math.NT
keywords identitiesmultiplevalueszetablockalternatingborweinbradley
verification ladder T0 review T1 audit T2 compute T3 formal
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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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