{"paper":{"title":"Asymptotics for the Fourier coefficients of eta-quotients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Shane Chern","submitted_at":"2018-05-22T17:45:05Z","abstract_excerpt":"We study the asymptotics for the Fourier coefficients of a broad class of eta-quotients, $$\\prod_{r=1}^R \\left(\\prod_{k\\ge 1}\\left(1-q^{m_r k}\\right)\\right)^{\\delta_r},$$ where $m_1,\\ldots,m_R$ are $R$ distinct positive integers and $\\delta_1,\\ldots,\\delta_R$ are $R$ non-zero integers with $\\sum_{r=1}^R \\delta_{r}\\ge 0$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.08759","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"}