{"paper":{"title":"Bounding $\\zeta(s)$ in the critical strip","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Emanuel Carneiro, Vorrapan Chandee","submitted_at":"2010-08-29T23:04:37Z","abstract_excerpt":"Assuming the Riemann Hypothesis, we make use of the recently discovered \\cite{CLV} extremal majorants and minorants of prescribed exponential type for the function $\\log\\left(\\tfrac{4 + x^2}{(\\alpha-1/2)^2 + x^2}\\right)$ to find upper and lower bounds with explicit constants for $\\log|\\zeta(\\alpha + it)|$ in the critical strip, extending the work of Chandee and Soundararajan \\cite{CS}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4970","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"}