{"paper":{"title":"(2+)-replication and the Baby Monster","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Chris Cummins, Rodrigo Matias","submitted_at":"2017-10-03T10:58:43Z","abstract_excerpt":"The definitions of replicable and completely replicable functions are intimately related to the Hecke operators for the modular group. We define the notions of \"$(2+)$-replicable\" and \"completely $(2+)$-replicable\" functions by considering the Hecke operators for $\\Gamma_0(2)^+$. We prove that the McKay-Thompson series for $2\\cdot\\mathbb{B}$, as computed by H\\\"ohn, are completely $(2+)$-replicable."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01071","kind":"arxiv","version":3},"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"}