{"paper":{"title":"The alternating block decomposition of iterated integrals, and cyclic insertion on multiple zeta values","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Steven Charlton","submitted_at":"2017-03-10T18:06:13Z","abstract_excerpt":"The cyclic insertion conjecture of Borwein, Bradley, Broadhurst and Lison\\v{e}k states that by inserting all cyclic permutations of some initial blocks of 2's into the multiple zeta value $ \\zeta(1,3,\\ldots,1,3) $ and summing, one obtains an explicit rational multiple of a power of $ \\pi $. Hoffman gives a conjectural identity of a similar flavour concerning $ 2 \\zeta(3,3,\\{2\\}^m) - \\zeta(3,\\{2\\}^m,(1,2)) $.\n  In this paper we introduce the 'generalised cyclic insertion conjecture', which we describe using a new combinatorial structure on iterated integrals -- the so-called alternating block d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03784","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}