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On Charlton's conjecture about the multiple zeta values

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Nabuo Sato
NCTS of National Taiwan University
Tue, 21/11/2017 - 09:50 - 10:40
MPIM Lecture Hall

In this talk, we give a proof of a special case of the generalized cyclic insertion conjecture on the MZVs, which was formulated by Steven Charlton in his thesis. The conjecture is stated in terms of the block notation for MZVs introduced by himself. Charlton's conjecture is a broad generalization of several long unproven families of identities such as Borwein-Bradley-Broadhurst-Lisoněk's cyclic insertion conjecture and certain conjectural identities posed by Hoffman. Our proof is based on certain identities among iterated integrals on a punctured projective line which we found by a search with the aid of computers. This is a joint work with Minoru Hirose at Kyushu University.

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