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In 1964, George Andrews proved an asymptotic formula of the form $$\\alpha(n)= \\sum_{c\\leq\\sqrt{n}} \\psi(n)+O_\\epsilon\\left(n^\\epsilon\\right),$$ where $\\psi(n)$ is an expression involving generalized Kloosterman sums and the $I$-Bessel function. Andrews conjectured that the series converges to $\\alpha(n)$ when extended to infinity, and that it does not converge absolutely. Bringmann and Ono proved the first of these conjectures. Here we obtain a power savings bound for the error in Andrews' form"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1806.01187","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-06-04T16:30:41Z","cross_cats_sorted":[],"title_canon_sha256":"4d3d92c4a26fcbc2c9f2056e1bf9c4390fae11b6e3ab842c8e812af3ed5c603c","abstract_canon_sha256":"95dd31af12d4c79e53801af23d0b5529ff9f446b9b0ecdb24dcf62ec2a4c8af6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:49.342216Z","signature_b64":"zdIv3+YAQakw5RjNZdiFU+kRYI+cQtE7mKIfYVlJSJdkhAfoUCjRsjSGRrZaCSSHBdvmu/pWqC43GK7xmxPvAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed6d234d596a772bddd9e858170f3675b379897da4db5986a19ccde9f3fb123c","last_reissued_at":"2026-05-17T23:51:49.341566Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:49.341566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Maass forms and the mock theta function $f(q)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Alexander Dunn, Scott Ahlgren","submitted_at":"2018-06-04T16:30:41Z","abstract_excerpt":"Let $f(q)=1+\\sum_{n=1}^{\\infty} \\alpha(n)q^n$ be the well-known third order mock theta of Ramanujan. In 1964, George Andrews proved an asymptotic formula of the form $$\\alpha(n)= \\sum_{c\\leq\\sqrt{n}} \\psi(n)+O_\\epsilon\\left(n^\\epsilon\\right),$$ where $\\psi(n)$ is an expression involving generalized Kloosterman sums and the $I$-Bessel function. Andrews conjectured that the series converges to $\\alpha(n)$ when extended to infinity, and that it does not converge absolutely. Bringmann and Ono proved the first of these conjectures. 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