{"paper":{"title":"A conjecture about multiple $t$-values","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Biswajyoti Saha","submitted_at":"2017-12-18T10:25:53Z","abstract_excerpt":"For positive integers $a_1,\\ldots,a_r$ with $a_1 \\ge 2$, the multiple $t$-value $t(a_1,\\ldots,a_r)$ is defined by the series $\\sum\\limits_{n_1 > \\ldots > n_r > 0 \\atop n_i \\text{ odd}} n_1^{-a_1} \\cdots n_r^{-a_r}$. For an integer $k \\ge 2$, the dimension of the $\\mathbb Q$-vector space generated by all the multiple $t$-values of weight $k$ has been predicted by Hoffman to be the $k$-th Fibonacci number. In this short note we give a conjectural basis of this vector space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.06325","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"}