{"paper":{"title":"An improved explicit bound on $|\\zeta(1/2 + it)|$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Dave Platt, Tim Trudgian","submitted_at":"2014-02-17T10:20:38Z","abstract_excerpt":"This article proves the bound $|\\zeta(\\frac{1}{2} + it)|\\leq 0.732 t^{\\frac{1}{6}} \\log t$ for $t \\geq 2$, which improves on a result by Cheng and Graham. We also show that $|\\zeta(\\frac{1}{2}+it)|\\leq 0.732 |3.3081+it|^{\\frac{1}{6}} \\log |3.3081+it|$ for all $t$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3953","kind":"arxiv","version":2},"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"}