{"paper":{"title":"Unramified Euler sums and Hoffman $\\star$ basis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Claire Glanois","submitted_at":"2016-03-16T17:01:04Z","abstract_excerpt":"When looking at how periods of $\\pi_{1}^{\\mathfrak{m}}(\\mathbb{P}^{1}\\diagdown \\lbrace 0, 1, \\infty \\rbrace )$, i.e. multiple zeta values, embeds into periods of $\\pi_{1}^{\\mathfrak{m}}(\\mathbb{P}^{1}\\diagdown \\lbrace 0, \\pm 1, \\infty \\rbrace )$, i.e. Euler sums, an explicit criteria via the coaction $\\Delta$ acting on their motivic versions comes out. In this paper, adopting this Galois descent approach, we present a new basis for the space $\\mathcal{H}^{1}$ of motivic multiple zeta values via motivic Euler sums. Up to an analytic conjecture, we also prove that the motivic Hoffman star basis "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05178","kind":"arxiv","version":1},"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"}